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Artykuły w czasopismach na temat „Integrable”

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Autor: Grafiati
Data publikacji: 4 czerwca 2021
Data aktualizacji: 21 lutego 2023

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1

Álvarez Merino, Paula, Carmen Requena Hernández i 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, nr 2 (28.10.2016): 221. http://dx.doi.org/10.17060/ijodaep.2016.n2.v1.569.

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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
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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.

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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.
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3

Mañas, Manuel. "From integrable nets to integrable lattices". Journal of Mathematical Physics 43, nr 5 (2002): 2523. http://dx.doi.org/10.1063/1.1454185.

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4

Maciejewski, Andrzej J., i Maria Przybylska. "Integrable deformations of integrable Hamiltonian systems". Physics Letters A 376, nr 2 (grudzień 2011): 80–93. http://dx.doi.org/10.1016/j.physleta.2011.10.031.

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5

Xia, Baoqiang, i Ruguang Zhou. "Integrable deformations of integrable symplectic maps". Physics Letters A 373, nr 47 (listopad 2009): 4360–67. http://dx.doi.org/10.1016/j.physleta.2009.09.063.

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6

Ning, Wang. "Integrable Bogoliubov Transform and Integrable Model". Chinese Physics Letters 20, nr 2 (23.01.2003): 177–79. http://dx.doi.org/10.1088/0256-307x/20/2/301.

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7

ZHU, LI, HONGWEI YANG i HUANHE DONG. "A LIOUVILLE INTEGRABLE MULTI-COMPONENT INTEGRABLE SYSTEM AND ITS INTEGRABLE COUPLINGS". International Journal of Modern Physics B 24, nr 08 (30.03.2010): 1021–46. http://dx.doi.org/10.1142/s0217979209053667.

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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.
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8

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

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9

Olshanetsky, M. A. "Integrable extensions of classical elliptic integrable systems". Theoretical and Mathematical Physics 208, nr 2 (sierpień 2021): 1061–74. http://dx.doi.org/10.1134/s0040577921080067.

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10

Výborný. "KURZWEIL-HENSTOCK ABSOLUTE INTEGRABLE MEANS McSHANE INTEGRABLE". Real Analysis Exchange 20, nr 1 (1994): 363. http://dx.doi.org/10.2307/44152498.

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11

Maciejewski, Andrzej J., i Maria Przybylska. "Integrable variational equations of non-integrable systems". Regular and Chaotic Dynamics 17, nr 3-4 (maj 2012): 337–58. http://dx.doi.org/10.1134/s1560354712030094.

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12

Zhu, Li. "Discrete integrable system and its integrable coupling". Chinese Physics B 18, nr 3 (marzec 2009): 850–55. http://dx.doi.org/10.1088/1674-1056/18/3/002.

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13

Zhu, Li. "Liouville Integrable System and Associated Integrable Coupling". Communications in Theoretical Physics 52, nr 6 (grudzień 2009): 987–91. http://dx.doi.org/10.1088/0253-6102/52/6/03.

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14

Papageorgiou, V. G., F. W. Nijhoff i H. W. Capel. "Integrable mappings and nonlinear integrable lattice equations". Physics Letters A 147, nr 2-3 (lipiec 1990): 106–14. http://dx.doi.org/10.1016/0375-9601(90)90876-p.

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15

Veselov, A. P. "Integrable maps". Russian Mathematical Surveys 46, nr 5 (31.10.1991): 1–51. http://dx.doi.org/10.1070/rm1991v046n05abeh002856.

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16

Bobenko, A. I. "Integrable surfaces". Functional Analysis and Its Applications 24, nr 3 (1991): 227–28. http://dx.doi.org/10.1007/bf01077966.

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17

Berenstein, Arkady, Jacob Greenstein i David Kazhdan. "Integrable clusters". Comptes Rendus Mathematique 353, nr 5 (maj 2015): 387–90. http://dx.doi.org/10.1016/j.crma.2015.02.006.

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18

Marikhin, V. G., i A. B. Shabat. "Integrable lattices". Theoretical and Mathematical Physics 118, nr 2 (luty 1999): 173–82. http://dx.doi.org/10.1007/bf02557310.

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19

Sorensen, E. S., S. Eggert i I. Affleck. "Integrable versus non-integrable spin chain impurity models". Journal of Physics A: Mathematical and General 26, nr 23 (7.12.1993): 6757–76. http://dx.doi.org/10.1088/0305-4470/26/23/023.

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20

LI, ZHU, i HUANHE DONG. "NEW INTEGRABLE LATTICE HIERARCHY AND ITS INTEGRABLE COUPLING". International Journal of Modern Physics B 23, nr 23 (20.09.2009): 4791–800. http://dx.doi.org/10.1142/s0217979209053114.

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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.
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21

José Mendoza. "Which Integrable Functions Fail to be Absolutely Integrable?" Real Analysis Exchange 43, nr 1 (2018): 243. http://dx.doi.org/10.14321/realanalexch.43.1.0243.

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22

Agricola, Ilka, Simon G. Chiossi i Anna Fino. "Solvmanifolds with integrable and non-integrable G2 structures". Differential Geometry and its Applications 25, nr 2 (kwiecień 2007): 125–35. http://dx.doi.org/10.1016/j.difgeo.2006.05.002.

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23

Wang, Haifeng, i Yufeng Zhang. "Two Nonisospectral Integrable Hierarchies and its Integrable Coupling". International Journal of Theoretical Physics 59, nr 8 (23.06.2020): 2529–39. http://dx.doi.org/10.1007/s10773-020-04519-9.

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24

Feng, Binlu, Yufeng Zhang i 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.

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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.
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25

Lăzureanu, Cristian, Ciprian Hedrea i 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.

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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.
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26

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

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27

Zhang, Jian, Chiping Zhang i Yunan Cui. "Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)". Open Mathematics 15, nr 1 (11.03.2017): 203–17. http://dx.doi.org/10.1515/math-2017-0017.

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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.
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28

Myrzakul, Akbota, i Ratbay Myrzakulov. "Integrable motion of two interacting curves, spin systems and the Manakov system". International Journal of Geometric Methods in Modern Physics 14, nr 07 (31.03.2017): 1750115. http://dx.doi.org/10.1142/s0219887817501158.

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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.
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29

Guo, Xiurong, Yufeng Zhang i 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.

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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.
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30

Nonnenmacher, D. J. F. "Every ${\rm M}\sb1$-integrable function is Pfeffer integrable". Czechoslovak Mathematical Journal 43, nr 2 (1993): 327–30. http://dx.doi.org/10.21136/cmj.1993.128400.

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31

Tao, Sixing. "Nonlinear Super Integrable Couplings of a Super Integrable Hierarchy". Journal of Applied Mathematics and Physics 04, nr 04 (2016): 648–54. http://dx.doi.org/10.4236/jamp.2016.44074.

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32

Chang, Hui, i Yuxia Li. "Two New Integrable Hierarchies and Their Nonlinear Integrable Couplings". Journal of Applied Mathematics and Physics 06, nr 06 (2018): 1346–62. http://dx.doi.org/10.4236/jamp.2018.66113.

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33

Xiao-Hong, Chen, Xia Tie-Cheng i Zhu Lian-Cheng. "An integrable Hamiltonian hierarchy and associated integrable couplings system". Chinese Physics 16, nr 9 (wrzesień 2007): 2493–97. http://dx.doi.org/10.1088/1009-1963/16/9/001.

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34

Buczolich, Zolt{án. "Henstock integrable functions are Lebesgue integrable on a portion". Proceedings of the American Mathematical Society 111, nr 1 (1.01.1991): 127. http://dx.doi.org/10.1090/s0002-9939-1991-1034883-6.

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35

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

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36

Bau, T., i N. T. Zung. "Letter singularities of integrable and near-integrable hamiltonian systems". Journal of Nonlinear Science 7, nr 1 (luty 1997): 1–7. http://dx.doi.org/10.1007/bf02679123.

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37

Yehia, H. M., i A. M. Hussein. "New Families of Integrable Two-Dimensional Systems with Quartic Second Integrals". Nelineinaya Dinamika 16, nr 2 (2020): 211–42. http://dx.doi.org/10.20537/nd200201.

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38

Hu, Beibei, i Tiecheng Xia. "The Binary Nonlinearization of the Super Integrable System and Its Self-Consistent Sources". International Journal of Nonlinear Sciences and Numerical Simulation 18, nr 3-4 (24.05.2017): 285–92. http://dx.doi.org/10.1515/ijnsns-2016-0158.

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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.
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39

Wang, Haifeng, i Yufeng Zhang. "Generating of Nonisospectral Integrable Hierarchies via the Lie-Algebraic Recursion Scheme". Mathematics 8, nr 4 (17.04.2020): 621. http://dx.doi.org/10.3390/math8040621.

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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.
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40

XU, XI-XIANG, i HONG-XIANG YANG. "A FAMILY OF DISCRETE INTEGRABLE COUPLING SYSTEMS AND ITS LIOUVILLE INTEGRABILITY". Modern Physics Letters B 23, nr 13 (30.05.2009): 1671–85. http://dx.doi.org/10.1142/s0217984909019843.

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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.
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41

Ma, Wen-Xiu. "Integrable Nonlocal PT-Symmetric Modified Korteweg-de Vries Equations Associated with so(3, \({\mathbb{R}}\))". Symmetry 13, nr 11 (19.11.2021): 2205. http://dx.doi.org/10.3390/sym13112205.

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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).
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42

Li, Yuqing, Huanhe Dong i 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.

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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.
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43

Zhao, Shiyin, Yufeng Zhang i Jian Zhou. "Several Isospectral and Non-Isospectral Integrable Hierarchies of Evolution Equations". Symmetry 14, nr 2 (17.02.2022): 402. http://dx.doi.org/10.3390/sym14020402.

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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.
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44

Piazza, Luisa Di, i Kazimierz Musiał. "Decompositions of Weakly Compact Valued Integrable Multifunctions". Mathematics 8, nr 6 (26.05.2020): 863. http://dx.doi.org/10.3390/math8060863.

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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.
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45

Combot, Thierry, Andrzej J. Maciejewski i Maria Przybylska. "Integrability of the generalised Hill problem". Nonlinear Dynamics 107, nr 3 (7.12.2021): 1989–2002. http://dx.doi.org/10.1007/s11071-021-07040-8.

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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.
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46

Li, Chuanzhong. "Constrained lattice-field hierarchies and Toda system with Block symmetry". International Journal of Geometric Methods in Modern Physics 13, nr 05 (21.04.2016): 1650061. http://dx.doi.org/10.1142/s0219887816500614.

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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.
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47

MA, WEN XIU, i LIANG GAO. "COUPLING INTEGRABLE COUPLINGS". Modern Physics Letters B 23, nr 15 (20.06.2009): 1847–60. http://dx.doi.org/10.1142/s0217984909020011.

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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.
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48

Yu, Fajun, Shuo Feng i 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.

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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.
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49

Ma, Wen-Xiu. "Integrable nonlocal nonlinear Schrödinger equations associated with 𝑠𝑜(3,ℝ)". Proceedings of the American Mathematical Society, Series B 9, nr 1 (14.01.2022): 1–11. http://dx.doi.org/10.1090/bproc/116.

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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}) .
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50

Zhang, Li-Qin, i Wen-Xiu Ma. "Nonlocal PT-Symmetric Integrable Equations of Fourth-Order Associated with so(3, ℝ)". Mathematics 9, nr 17 (2.09.2021): 2130. http://dx.doi.org/10.3390/math9172130.

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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.
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