Relevant bibliographies by topics / Integrable / Journal articles

Journal articles on the topic 'Integrable'

To see the other types of publications on this topic, follow the link: Integrable.
Author: Grafiati
Published: 4 June 2021
Last updated: 21 February 2023

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the top 50 journal articles for your research on the topic 'Integrable.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Browse journal articles on a wide variety of disciplines and organise your bibliography correctly.

1

Álvarez Merino, Paula, Carmen Requena Hernández, and Francisco Salto Alemany. "LA INTEGRACIÓN MÁS QUE LA EDAD INFLUYE EN EL RENDIMIENTO DEL RAZONAMIENTO DEDUCTIVO." International Journal of Developmental and Educational Psychology. Revista INFAD de Psicología. 1, no. 2 (October 28, 2016): 221. http://dx.doi.org/10.17060/ijodaep.2016.n2.v1.569.

Full text
Abstract:
Abstract.This work merges from our interest for the evolution of deductive reasoning across the life cycle from youth to older age. With time, reasoning resources seem to be compromised and constrained, even if on the other side they seem more flexible. The literature on deductive reasoning considers that deduction only takes place between integrable premisses, that is, premisses whose elements share any categorematical term. The present research designed, applied and analyzed an instrument to measure deduction. The measure is based on integration as a general rule to deduce a conclusion from two premisses. The internal consistency of the instrument was .775 and its validity was approved by 10 experts. The transversal design had a sample of 37 young and 42 older persons, 12 of which had university degrees. Both young and old groups commit less failures with integrable elements than with non-integrable (p=.000), Importantly, the group of young reasoners show less correct answers differences between integrable and non-integrable inferences. As a conclusion, the high number of deductive errors among older persons in non integrable inferences can be explained because they seem to handle heuristic rules with a low abstraction level, of the kind: “if premisses are not integrable, then the inference is false”. The higher scores obtained by young reasoners with non integrable inferences is eventually explained in terms of the search for subjacent logical reasons in non integrable or even apparently incoherent inferential tasks.Keywords: Deduction, Aging reason, Integrable reasoning, Deductive reasonig measure instrumentResumen.El origen de este trabajo arranca del interés por conocer la evolución del razonamiento deductivo de la juventud a la vejez. Con el tiempo, los recursos razonadores parecen verse comprometidos y limitados, aunque por otra parte pueden aparecer más flexibles. La literatura sobre razonamiento deductivo considera que éste sucede sólo entre premisas que sean integrables. Del concepto de integración no existe una definición precisa aunque hay cierto acuerdo en considerar que son integrables las premisas cuyos elementos comparten algún término categoremático. En la presente investigación se diseño, aplicó y analizó un instrumento para medir la deducción en base a aplicar la integración como regla general entre dos premisas para obtener la conclusión. La consistencia interna del instrumento fue de .775 y la validez de contenido fue aprobada por 10 expertos. El diseño transversal contó con una muestra de 37 jóvones y 42 personas mayores de las que 12 tenían estudios universitarios. El grupo de jóvenes y mayores comenten menos errores en los ítems integrables que en los no integrables (p = .000). Destacablemente, el grupo de jóvenes muestra menor diferencia de aciertos entre inferencias integrables y no integrables. Como conclusión, se explica el amplio número de errores deductivos de mayores en los ítems no integrables porque manejan reglas heurísticas de bajo nivel de abstracción del tipo: si las premisas no son integrables, la inferencia es falsa. El mayor acierto de los jóvenes con inferencias no integrables se explica eventualmente por la búsqueda de razones lógicas subyacentes ante una tarea aparentemente incoherente. Palabras Clave: Deducción, Razonamiento en la vejez, Razonamiento integrable, Razonamiento deductivo instrumento de medida
APA, Harvard, Vancouver, ISO, and other styles
2

Kai, Tatsuya. "Theoretical Analysis for a Class of Rheonomous Affine Constraints on Configuration Manifolds—Part II: Foliation Structures and Integrating Algorithms." Mathematical Problems in Engineering 2012 (2012): 1–34. http://dx.doi.org/10.1155/2012/345942.

Full text
Abstract:
This paper investigates foliation structures of configuration manifolds and develops integrating algorithms for a class of constraints that contain the time variable, calledA-rheonomous affine constrains. We first present some preliminaries on theA-rheonomous affine constrains. Next, theoretical analysis on foliation structures of configuration manifolds is done for the respective three cases where theA-rheonomous affine constrains are completely integrable, partially integrable, and completely nonintegrable. We then propose two types of integrating algorithms in order to calculate independent first integrals for completely integrable and partially integrableA-rheonomous affine constrains. Finally, a physical example is illustrated in order to verify the availability of our new results.
APA, Harvard, Vancouver, ISO, and other styles
3

Mañas, Manuel. "From integrable nets to integrable lattices." Journal of Mathematical Physics 43, no. 5 (2002): 2523. http://dx.doi.org/10.1063/1.1454185.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Maciejewski, Andrzej J., and Maria Przybylska. "Integrable deformations of integrable Hamiltonian systems." Physics Letters A 376, no. 2 (December 2011): 80–93. http://dx.doi.org/10.1016/j.physleta.2011.10.031.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Xia, Baoqiang, and Ruguang Zhou. "Integrable deformations of integrable symplectic maps." Physics Letters A 373, no. 47 (November 2009): 4360–67. http://dx.doi.org/10.1016/j.physleta.2009.09.063.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Ning, Wang. "Integrable Bogoliubov Transform and Integrable Model." Chinese Physics Letters 20, no. 2 (January 23, 2003): 177–79. http://dx.doi.org/10.1088/0256-307x/20/2/301.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

ZHU, LI, HONGWEI YANG, and HUANHE DONG. "A LIOUVILLE INTEGRABLE MULTI-COMPONENT INTEGRABLE SYSTEM AND ITS INTEGRABLE COUPLINGS." International Journal of Modern Physics B 24, no. 08 (March 30, 2010): 1021–46. http://dx.doi.org/10.1142/s0217979209053667.

Full text
Abstract:
A Liouville integrable multi-component integrable system is obtained by the vector loop algebra. Then, the integrable couplings of the above system are presented by using the expanding vector loop algebra [Formula: see text] of the [Formula: see text]. Finally, the bi -Hamiltonian structure of the obtained system is given, respectively, by the variational identity.
APA, Harvard, Vancouver, ISO, and other styles
8

Bountis, Tassos, Zhanat Zhunussova, Karlygash Dosmagulova, and George Kanellopoulos. "Integrable and non-integrable Lotka-Volterra systems." Physics Letters A 402 (June 2021): 127360. http://dx.doi.org/10.1016/j.physleta.2021.127360.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Olshanetsky, M. A. "Integrable extensions of classical elliptic integrable systems." Theoretical and Mathematical Physics 208, no. 2 (August 2021): 1061–74. http://dx.doi.org/10.1134/s0040577921080067.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Výborný. "KURZWEIL-HENSTOCK ABSOLUTE INTEGRABLE MEANS McSHANE INTEGRABLE." Real Analysis Exchange 20, no. 1 (1994): 363. http://dx.doi.org/10.2307/44152498.

Full text
APA, Harvard, Vancouver, ISO, and other styles
11

Maciejewski, Andrzej J., and Maria Przybylska. "Integrable variational equations of non-integrable systems." Regular and Chaotic Dynamics 17, no. 3-4 (May 2012): 337–58. http://dx.doi.org/10.1134/s1560354712030094.

Full text
APA, Harvard, Vancouver, ISO, and other styles
12

Zhu, Li. "Discrete integrable system and its integrable coupling." Chinese Physics B 18, no. 3 (March 2009): 850–55. http://dx.doi.org/10.1088/1674-1056/18/3/002.

Full text
APA, Harvard, Vancouver, ISO, and other styles
13

Zhu, Li. "Liouville Integrable System and Associated Integrable Coupling." Communications in Theoretical Physics 52, no. 6 (December 2009): 987–91. http://dx.doi.org/10.1088/0253-6102/52/6/03.

Full text
APA, Harvard, Vancouver, ISO, and other styles
14

Papageorgiou, V. G., F. W. Nijhoff, and H. W. Capel. "Integrable mappings and nonlinear integrable lattice equations." Physics Letters A 147, no. 2-3 (July 1990): 106–14. http://dx.doi.org/10.1016/0375-9601(90)90876-p.

Full text
APA, Harvard, Vancouver, ISO, and other styles
15

Veselov, A. P. "Integrable maps." Russian Mathematical Surveys 46, no. 5 (October 31, 1991): 1–51. http://dx.doi.org/10.1070/rm1991v046n05abeh002856.

Full text
APA, Harvard, Vancouver, ISO, and other styles
16

Bobenko, A. I. "Integrable surfaces." Functional Analysis and Its Applications 24, no. 3 (1991): 227–28. http://dx.doi.org/10.1007/bf01077966.

Full text
APA, Harvard, Vancouver, ISO, and other styles
17

Berenstein, Arkady, Jacob Greenstein, and David Kazhdan. "Integrable clusters." Comptes Rendus Mathematique 353, no. 5 (May 2015): 387–90. http://dx.doi.org/10.1016/j.crma.2015.02.006.

Full text
APA, Harvard, Vancouver, ISO, and other styles
18

Marikhin, V. G., and A. B. Shabat. "Integrable lattices." Theoretical and Mathematical Physics 118, no. 2 (February 1999): 173–82. http://dx.doi.org/10.1007/bf02557310.

Full text
APA, Harvard, Vancouver, ISO, and other styles
19

Sorensen, E. S., S. Eggert, and I. Affleck. "Integrable versus non-integrable spin chain impurity models." Journal of Physics A: Mathematical and General 26, no. 23 (December 7, 1993): 6757–76. http://dx.doi.org/10.1088/0305-4470/26/23/023.

Full text
APA, Harvard, Vancouver, ISO, and other styles
20

LI, ZHU, and HUANHE DONG. "NEW INTEGRABLE LATTICE HIERARCHY AND ITS INTEGRABLE COUPLING." International Journal of Modern Physics B 23, no. 23 (September 20, 2009): 4791–800. http://dx.doi.org/10.1142/s0217979209053114.

Full text
Abstract:
New hierarchy of Liouville integrable lattice equation and their Hamiltonian structure are generated by use of the Tu model. Then, integrable couplings of the obtained system is worked out by the extending spectral problem.
APA, Harvard, Vancouver, ISO, and other styles
21

José Mendoza. "Which Integrable Functions Fail to be Absolutely Integrable?" Real Analysis Exchange 43, no. 1 (2018): 243. http://dx.doi.org/10.14321/realanalexch.43.1.0243.

Full text
APA, Harvard, Vancouver, ISO, and other styles
22

Agricola, Ilka, Simon G. Chiossi, and Anna Fino. "Solvmanifolds with integrable and non-integrable G2 structures." Differential Geometry and its Applications 25, no. 2 (April 2007): 125–35. http://dx.doi.org/10.1016/j.difgeo.2006.05.002.

Full text
APA, Harvard, Vancouver, ISO, and other styles
23

Wang, Haifeng, and Yufeng Zhang. "Two Nonisospectral Integrable Hierarchies and its Integrable Coupling." International Journal of Theoretical Physics 59, no. 8 (June 23, 2020): 2529–39. http://dx.doi.org/10.1007/s10773-020-04519-9.

Full text
APA, Harvard, Vancouver, ISO, and other styles
24

Feng, Binlu, Yufeng Zhang, and Huanhe Dong. "A Few Integrable Couplings of Some Integrable Systems and (2+1)-Dimensional Integrable Hierarchies." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/932672.

Full text
Abstract:
Two high-dimensional Lie algebras are presented for which four (1+1)-dimensional expanding integrable couplings of the D-AKNS hierarchy are obtained by using the Tu scheme; one of them is a united integrable coupling model of the D-AKNS hierarchy and the AKNS hierarchy. Then (2+1)-dimensional DS hierarchy is derived by using the TAH scheme; in particular, the integrable couplings of the DS hierarchy are obtained.
APA, Harvard, Vancouver, ISO, and other styles
25

Lăzureanu, Cristian, Ciprian Hedrea, and Camelia Petrişor. "On the integrable deformations of a system related to the motion of two vortices in an ideal incompressible fluid." ITM Web of Conferences 29 (2019): 01015. http://dx.doi.org/10.1051/itmconf/20192901015.

Full text
Abstract:
Altering the first integrals of an integrable system integrable deformations of the given system are obtained. These integrable deformations are also integrable systems, and they generalize the initial system. In this paper we give a method to construct integrable deformations of maximally superintegrable Hamiltonian mechanical systems with two degrees of freedom. An integrable deformation of a maximally superintegrable Hamiltonian mechanical system preserves the number of first integrals, but is not a Hamiltonian mechanical system, generally. We construct integrable deformations of the maximally superintegrable Hamiltonian mechanical system that describes the motion of two vortices in an ideal incompressible fluid, and we show that some of these integrable deformations are Hamiltonian mechanical systems too.
APA, Harvard, Vancouver, ISO, and other styles
26

Newton, Paul K., and Bharat Khushalani. "Integrable decomposition methods and ensemble averaging for non-integrableN-vortex problems." Journal of Turbulence 3 (January 2002): N54. http://dx.doi.org/10.1088/1468-5248/3/1/054.

Full text
APA, Harvard, Vancouver, ISO, and other styles
27

Zhang, Jian, Chiping Zhang, and Yunan Cui. "Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)." Open Mathematics 15, no. 1 (March 11, 2017): 203–17. http://dx.doi.org/10.1515/math-2017-0017.

Full text
Abstract:
Abstract In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated with SO(4) for a hierarchy from the enlarged matrix spectral problems and the enlarged zero curvature equations. Moreover, Hamiltonian structures of the obtained bi-integrable and tri-integrable couplings are constructed by the variational identities.
APA, Harvard, Vancouver, ISO, and other styles
28

Myrzakul, Akbota, and Ratbay Myrzakulov. "Integrable motion of two interacting curves, spin systems and the Manakov system." International Journal of Geometric Methods in Modern Physics 14, no. 07 (March 31, 2017): 1750115. http://dx.doi.org/10.1142/s0219887817501158.

Full text
Abstract:
Integrable spin systems are an important subclass of integrable (soliton) nonlinear equations. They play important role in physics and mathematics. At present, many integrable spin systems were found and studied. They are related with the motion of three-dimensional curves. In this paper, we consider a model of two moving interacting curves. Next, we find its integrable reduction related with some integrable coupled spin system. Then, we show that this integrable coupled spin system is equivalent to the famous Manakov system.
APA, Harvard, Vancouver, ISO, and other styles
29

Guo, Xiurong, Yufeng Zhang, and Xuping Zhang. "Two Expanding Integrable Models of the Geng-Cao Hierarchy." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/860935.

Full text
Abstract:
As far as linear integrable couplings are concerned, one has obtained some rich and interesting results. In the paper, we will deduce two kinds of expanding integrable models of the Geng-Cao (GC) hierarchy by constructing different 6-dimensional Lie algebras. One expanding integrable model (actually, it is a nonlinear integrable coupling) reduces to a generalized Burgers equation and further reduces to the heat equation whose expanding nonlinear integrable model is generated. Another one is an expanding integrable model which is different from the first one. Finally, the Hamiltonian structures of the two expanding integrable models are obtained by employing the variational identity and the trace identity, respectively.
APA, Harvard, Vancouver, ISO, and other styles
30

Nonnenmacher, D. J. F. "Every ${\rm M}\sb1$-integrable function is Pfeffer integrable." Czechoslovak Mathematical Journal 43, no. 2 (1993): 327–30. http://dx.doi.org/10.21136/cmj.1993.128400.

Full text
APA, Harvard, Vancouver, ISO, and other styles
31

Tao, Sixing. "Nonlinear Super Integrable Couplings of a Super Integrable Hierarchy." Journal of Applied Mathematics and Physics 04, no. 04 (2016): 648–54. http://dx.doi.org/10.4236/jamp.2016.44074.

Full text
APA, Harvard, Vancouver, ISO, and other styles
32

Chang, Hui, and Yuxia Li. "Two New Integrable Hierarchies and Their Nonlinear Integrable Couplings." Journal of Applied Mathematics and Physics 06, no. 06 (2018): 1346–62. http://dx.doi.org/10.4236/jamp.2018.66113.

Full text
APA, Harvard, Vancouver, ISO, and other styles
33

Xiao-Hong, Chen, Xia Tie-Cheng, and Zhu Lian-Cheng. "An integrable Hamiltonian hierarchy and associated integrable couplings system." Chinese Physics 16, no. 9 (September 2007): 2493–97. http://dx.doi.org/10.1088/1009-1963/16/9/001.

Full text
APA, Harvard, Vancouver, ISO, and other styles
34

Buczolich, Zolt{án. "Henstock integrable functions are Lebesgue integrable on a portion." Proceedings of the American Mathematical Society 111, no. 1 (January 1, 1991): 127. http://dx.doi.org/10.1090/s0002-9939-1991-1034883-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
35

Freese, Johannes, Boris Gutkin, and Thomas Guhr. "Spreading in integrable and non-integrable many-body systems." Physica A: Statistical Mechanics and its Applications 461 (November 2016): 683–93. http://dx.doi.org/10.1016/j.physa.2016.06.008.

Full text
APA, Harvard, Vancouver, ISO, and other styles
36

Bau, T., and N. T. Zung. "Letter singularities of integrable and near-integrable hamiltonian systems." Journal of Nonlinear Science 7, no. 1 (February 1997): 1–7. http://dx.doi.org/10.1007/bf02679123.

Full text
APA, Harvard, Vancouver, ISO, and other styles
37

Yehia, H. M., and A. M. Hussein. "New Families of Integrable Two-Dimensional Systems with Quartic Second Integrals." Nelineinaya Dinamika 16, no. 2 (2020): 211–42. http://dx.doi.org/10.20537/nd200201.

Full text
APA, Harvard, Vancouver, ISO, and other styles
38

Hu, Beibei, and Tiecheng Xia. "The Binary Nonlinearization of the Super Integrable System and Its Self-Consistent Sources." International Journal of Nonlinear Sciences and Numerical Simulation 18, no. 3-4 (May 24, 2017): 285–92. http://dx.doi.org/10.1515/ijnsns-2016-0158.

Full text
Abstract:
AbstractThe super integrable system and its super Hamiltonian structure are established based on a loop super Lie algebra and super-trace identity in this paper. Then the super integrable system with self-consistent sources and conservation laws of the super integrable system are constructed. Furthermore, an explicit Bargmann symmetry constraint and the binary nonlinearization of Lax pairs for the super integrable system are established. Under the symmetry constraint,the $n$-th flow of the super integrable system is decomposed into two super finite-dimensional integrable Hamilton systems over the supersymmetric manifold. The integrals of motion required for Liouville integrability are explicitly given.
APA, Harvard, Vancouver, ISO, and other styles
39

Wang, Haifeng, and Yufeng Zhang. "Generating of Nonisospectral Integrable Hierarchies via the Lie-Algebraic Recursion Scheme." Mathematics 8, no. 4 (April 17, 2020): 621. http://dx.doi.org/10.3390/math8040621.

Full text
Abstract:
In the paper, we introduce an efficient method for generating non-isospectral integrable hierarchies, which can be used to derive a great many non-isospectral integrable hierarchies. Based on the scheme, we derive a non-isospectral integrable hierarchy by using Lie algebra and the corresponding loop algebra. It follows that some symmetries of the non-isospectral integrable hierarchy are also studied. Additionally, we also obtain a few conserved quantities of the isospectral integrable hierarchies.
APA, Harvard, Vancouver, ISO, and other styles
40

XU, XI-XIANG, and HONG-XIANG YANG. "A FAMILY OF DISCRETE INTEGRABLE COUPLING SYSTEMS AND ITS LIOUVILLE INTEGRABILITY." Modern Physics Letters B 23, no. 13 (May 30, 2009): 1671–85. http://dx.doi.org/10.1142/s0217984909019843.

Full text
Abstract:
A discrete matrix spectral problem and corresponding family of discrete integrable systems are discussed. A semi-direct sum of Lie algebras of four-by-four matrices is introduced, and the related integrable coupling systems of resulting discrete integrable systems are derived. The obtained discrete integrable coupling systems are all written in their Hamiltonian forms by the discrete variational identity. Finally, Liouville integrability of the family of obtained integrable coupling systems is demonstrated.
APA, Harvard, Vancouver, ISO, and other styles
41

Ma, Wen-Xiu. "Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))." Symmetry 13, no. 11 (November 19, 2021): 2205. http://dx.doi.org/10.3390/sym13112205.

Full text
Abstract:
We construct integrable PT-symmetric nonlocal reductions for an integrable hierarchy associated with the special orthogonal Lie algebra so(3,R). The resulting typical nonlocal integrable equations are integrable PT-symmetric nonlocal complex reverse-spacetime and real reverse-spacetime modified Korteweg-de Vries equations associated with so(3,R).
APA, Harvard, Vancouver, ISO, and other styles
42

Li, Yuqing, Huanhe Dong, and Baoshu Yin. "A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources." Journal of Applied Mathematics 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/416472.

Full text
Abstract:
Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity. The Liouville integrability of the integrable coupling is demonstrated. Finally, the discrete integrable coupling system with self-consistent sources is deduced.
APA, Harvard, Vancouver, ISO, and other styles
43

Zhao, Shiyin, Yufeng Zhang, and Jian Zhou. "Several Isospectral and Non-Isospectral Integrable Hierarchies of Evolution Equations." Symmetry 14, no. 2 (February 17, 2022): 402. http://dx.doi.org/10.3390/sym14020402.

Full text
Abstract:
By introducing a 3×3 matrix Lie algebra and employing the generalized Tu scheme, a AKNS isospectral–nonisospectral integrable hierarchy is generated by using a third-order matrix Lie algebra. Through a matrix transformation, we turn the 3×3 matrix Lie algebra into a 2×2 matrix case for which we conveniently enlarge it into two various expanding Lie algebras in order to obtain two different expanding integrable models of the isospectral–nonisospectral AKNS hierarchy by employing the integrable coupling theory. Specially, we propose a method for generating nonlinear integrable couplings for the first time, and produce a generalized KdV-Schrödinger integrable system and a nonlocal nonlinear Schrödinger equation, which indicates that we unite the KdV equation and the nonlinear Schrödinger equation as an integrable model by our method. This method presented in the paper could apply to investigate other integrable systems.
APA, Harvard, Vancouver, ISO, and other styles
44

Piazza, Luisa Di, and Kazimierz Musiał. "Decompositions of Weakly Compact Valued Integrable Multifunctions." Mathematics 8, no. 6 (May 26, 2020): 863. http://dx.doi.org/10.3390/math8060863.

Full text
Abstract:
We give a short overview on the decomposition property for integrable multifunctions, i.e., when an “integrable in a certain sense” multifunction can be represented as a sum of one of its integrable selections and a multifunction integrable in a narrower sense. The decomposition theorems are important tools of the theory of multivalued integration since they allow us to see an integrable multifunction as a translation of a multifunction with better properties. Consequently, they provide better characterization of integrable multifunctions under consideration. There is a large literature on it starting from the seminal paper of the authors in 2006, where the property was proved for Henstock integrable multifunctions taking compact convex values in a separable Banach space X. In this paper, we summarize the earlier results, we prove further results and present tables which show the state of art in this topic.
APA, Harvard, Vancouver, ISO, and other styles
45

Combot, Thierry, Andrzej J. Maciejewski, and Maria Przybylska. "Integrability of the generalised Hill problem." Nonlinear Dynamics 107, no. 3 (December 7, 2021): 1989–2002. http://dx.doi.org/10.1007/s11071-021-07040-8.

Full text
Abstract:
AbstractWe consider a certain two-parameter generalisation of the planar Hill lunar problem. We prove that for nonzero values of these parameters the system is not integrable in the Liouville sense. For special choices of parameters the system coincides with the classical Hill system, the integrable synodical Kepler problem or the integrable parametric Hénon system. We prove that the synodical Kepler problem is not super-integrable, and that the parametric Hénon problem is super-integrable for infinitely many values of the parameter.
APA, Harvard, Vancouver, ISO, and other styles
46

Li, Chuanzhong. "Constrained lattice-field hierarchies and Toda system with Block symmetry." International Journal of Geometric Methods in Modern Physics 13, no. 05 (April 21, 2016): 1650061. http://dx.doi.org/10.1142/s0219887816500614.

Full text
Abstract:
In this paper, we construct the additional [Formula: see text]-symmetry and ghost symmetry of two-lattice field integrable hierarchies. Using the symmetry constraint, we construct constrained two-lattice integrable systems which contain several new integrable difference equations. Under a further reduction, the constrained two-lattice integrable systems can be combined into one single integrable system, namely the well-known one-dimensional original Toda hierarchy. We prove that the one-dimensional original Toda hierarchy has a nice Block Lie symmetry.
APA, Harvard, Vancouver, ISO, and other styles
47

MA, WEN XIU, and LIANG GAO. "COUPLING INTEGRABLE COUPLINGS." Modern Physics Letters B 23, no. 15 (June 20, 2009): 1847–60. http://dx.doi.org/10.1142/s0217984909020011.

Full text
Abstract:
Integrable couplings are presented by coupling given integrable couplings. It is shown that such coupled integrable couplings can possess zero curvature representations and recursion operators, which yield infinitely many commuting symmetries. The presented zero curvature equations are associated with Lie algebras, each of which has two sub-Lie algebras in form of semi-direct sums of Lie algebras.
APA, Harvard, Vancouver, ISO, and other styles
48

Yu, Fajun, Shuo Feng, and Yanyu Zhao. "A Complex Integrable Hierarchy and Its Hamiltonian Structure for Integrable Couplings of WKI Soliton Hierarchy." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/146537.

Full text
Abstract:
We generate complex integrable couplings from zero curvature equations associated with matrix spectral problems in this paper. A direct application to the WKI spectral problem leads to a novel soliton equation hierarchy of integrable coupling system; then we consider the Hamiltonian structure of the integrable coupling system. We select theU¯,V¯and generate the nonlinear composite parts, which generate new extended WKI integrable couplings. It is also indicated that the method of block matrix is an efficient and straightforward way to construct the integrable coupling system.
APA, Harvard, Vancouver, ISO, and other styles
49

Ma, Wen-Xiu. "Integrable nonlocal nonlinear Schrödinger equations associated with 𝑠𝑜(3,ℝ)." Proceedings of the American Mathematical Society, Series B 9, no. 1 (January 14, 2022): 1–11. http://dx.doi.org/10.1090/bproc/116.

Full text
Abstract:
We construct integrable PT-symmetric nonlocal reductions for an integrable hierarchy associated with the special orthogonal Lie algebra so ⁡ ( 3 , R ) \operatorname {so}(3,\mathbb {R}) . The resulting typical nonlocal integrable equations are integrable PT-symmetric nonlocal reverse-space, reverse-time and reverse-spacetime nonlinear Schrödinger equations associated with so ⁡ ( 3 , R ) \operatorname {so}(3,\mathbb {R}) .
APA, Harvard, Vancouver, ISO, and other styles
50

Zhang, Li-Qin, and Wen-Xiu Ma. "Nonlocal PT-Symmetric Integrable Equations of Fourth-Order Associated with so(3, ℝ)." Mathematics 9, no. 17 (September 2, 2021): 2130. http://dx.doi.org/10.3390/math9172130.

Full text
Abstract:
The paper aims to construct nonlocal PT-symmetric integrable equations of fourth-order, from nonlocal integrable reductions of a fourth-order integrable system associated with the Lie algebra so(3,R). The nonlocalities involved are reverse-space, reverse-time, and reverse-spacetime. All of the resulting nonlocal integrable equations possess infinitely many symmetries and conservation laws.
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the bibliographies on the topic 'Integrable' for other source types:
Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography