Academic literature on the topic 'Lax pair'
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Journal articles on the topic "Lax pair"
Juanda, Andreno. "KAJIAN TENTANG LAX PAIR DAN PENERAPANNYA PADA PERSAMAAN LIOUVILLE." Jurnal Matematika UNAND 6, no. 1 (February 1, 2017): 58. http://dx.doi.org/10.25077/jmu.6.1.58-65.2017.
Full textSatria, Ance. "ANALISIS LAX PAIR DAN PENERAPANNYA PADA PERSAMAAN KORTEWEG-DE VRIES." Jurnal Matematika UNAND 6, no. 1 (February 1, 2017): 66. http://dx.doi.org/10.25077/jmu.6.1.66-73.2017.
Full textBALEANU, D., and S. BAŞKAL. "GEOMETRIZATION OF THE LAX PAIR TENSORS." Modern Physics Letters A 15, no. 24 (August 10, 2000): 1503–10. http://dx.doi.org/10.1142/s0217732300001924.
Full textZhang, Yufeng, and Yan Wang. "A New Reduction of the Self-Dual Yang–Mills Equations and its Applications." Zeitschrift für Naturforschung A 71, no. 7 (July 1, 2016): 631–38. http://dx.doi.org/10.1515/zna-2016-0138.
Full textGoliath, Martin, Max Karlovini, and Kjell Rosquist. "Lax pair tensors in arbitrary dimensions." Journal of Physics A: Mathematical and General 32, no. 18 (January 1, 1999): 3377–83. http://dx.doi.org/10.1088/0305-4470/32/18/311.
Full textYue, Ruihong, and Ryu Sasaki. "Lax Pair forSU(n) Hubbard Model." Journal of the Physical Society of Japan 67, no. 9 (September 15, 1998): 2967–69. http://dx.doi.org/10.1143/jpsj.67.2967.
Full textEstévez, P. G., M. L. Gandarias, and J. Prada. "Symmetry reductions of a Lax pair." Physics Letters A 343, no. 1-3 (August 2005): 40–47. http://dx.doi.org/10.1016/j.physleta.2005.05.089.
Full textHaine, L., and E. Horozov. "A Lax pair for Kowalevski's top." Physica D: Nonlinear Phenomena 29, no. 1-2 (November 1987): 173–80. http://dx.doi.org/10.1016/0167-2789(87)90053-4.
Full textRosquist, Kjell, and Martin Goliath. "Lax Pair Tensors and Integrable Spacetimes." General Relativity and Gravitation 30, no. 10 (October 1998): 1521–34. http://dx.doi.org/10.1023/a:1018817209424.
Full textLi, Chong, Lin-Jie Shi, Xiao-Li Wang, Na Wang, and Min-Ru Chen. "On generalized Lax equation of the Lax triple of mKP hierarchy." International Journal of Modern Physics A 35, no. 20 (July 2, 2020): 2050099. http://dx.doi.org/10.1142/s0217751x20500992.
Full textDissertations / Theses on the topic "Lax pair"
Hay, Mike. "Discrete Lax pairs, reductions and hierarchies." Thesis, The University of Sydney, 2008. http://hdl.handle.net/2123/3958.
Full textHay, Mike. "Discrete Lax pairs, reductions and hierarchies." Science, School of Mathematics and Statistics, 2008. http://hdl.handle.net/2123/3958.
Full textThe term `Lax pair' refers to linear systems (of various types) that are related to nonlinear equations through a compatibility condition. If a nonlinear equation possesses a Lax pair, then the Lax pair may be used to gather information about the behaviour of the solutions to the nonlinear equation. Conserved quantities, asymptotics and even explicit solutions to the nonlinear equation, amongst other information, can be calculated using a Lax pair. Importantly, the existence of a Lax pair is a signature of integrability of the associated nonlinear equation. While Lax pairs were originally devised in the context of continuous equations, Lax pairs for discrete integrable systems have risen to prominence over the last three decades or so and this thesis focuses entirely on discrete equations. Famous continuous systems such as the Korteweg de Vries equation and the Painleve equations all have integrable discrete analogues, which retrieve the original systems in the continuous limit. Links between the different types of integrable systems are well known, such as reductions from partial difference equations to ordinary difference equations. Infinite hierarchies of integrable equations can be constructed where each equation is related to adjacent members of the hierarchy and the order of the equations can be increased arbitrarily. After a literature review, the original material in this thesis is instigated by a completeness study that finds all possible Lax pairs of a certain type, including one for the lattice modified Korteweg de Vries equation. The lattice modified Korteweg de Vries equation is subsequently reduced to several q-discrete Painleve equations, and the reductions are used to form Lax pairs for those equations. The series of reductions suggests the presence of a hierarchy of equations, where each equation is obtained by applying a recursion relation to an earlier member of the hierarchy, this is confirmed using expansions within the Lax pairs for the q-Painleve equations. Lastly, some explorations are included into fake Lax pairs, as well as sets of equivalent nonlinear equations with similar Lax pairs.
Unal, Gonul. "Commutative And Non-commutative Integrable Equations: Lax Pairs, Recursion Operators." Master's thesis, METU, 2011. http://etd.lib.metu.edu.tr/upload/12613453/index.pdf.
Full textErbas, Kadir Can. "Some Properties And Conserved Quantities Of The Short Pulse Equation." Master's thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/12609368/index.pdf.
Full textThirouin, Joseph. "Instabilité et croissance des normes de Sobolev pour certaines EDP hamiltoniennes." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLS195/document.
Full textIn this thesis we study global smooth solutions of certain Hamiltonian PDEs, in order to capture the possible growth of their Sobolev norms. Such a phenomenon is typical for what is sometimes called "weak turbulence" : a change in the distribution of energy between Fourier modes. We first study a nonlinear evolution equation involving a fractional Laplacian, and we prove a priori estimates on the growth of Sobolev norms. We then introduce an equation where these estimates turn out to be optimal : an integrable Szegő equation with a quadratic nonlinearity, which admits exponentially growing smooth solutions that remain bounded in the energy space. We classify the traveling wave solutions of this quadratic Szegő equation, and show that some of them are unstable. Eventually we find a hierarchy of conservation laws for this equation, which leads us into a deeper study of rational turbulent solutions
Xu, Haiyan. "Sur certains systèmes hamiltoniens liés à l’équation de Szegő cubique." Thesis, Paris 11, 2015. http://www.theses.fr/2015PA112159/document.
Full textThe main purpose of this Ph.D. thesis is to study the long time behavior of solutionsto some Hamiltonian PDEs, i∂_t u=X_H (u), including global existence, growth of high Sobolev norms, scattering and long time approximation by resonant dynamics.In this context, at first we consider the Szegő equation on the circle S1 perturbed bya linear potential, i∂_t u=∏ |u|² u+α∫ u,α∈R, (α-Szegő) where ∏ is the projector onto the non-negative frequencies. For α=0, it turns out tobe the cubic Szegő equation, which was recently introduced by Gérard and Grellier as amathematical toy model of a non-linear totally non dispersive equation.We study the global well-posedness, the integrability and the dynamics of the singularvalues of the related Hankel operators of the α –Szegő equation. Moreover, we establishthe following properties for this equation on a class of invariant submanifolds, with anarbitrary large dimension. For α<0, any trajectory is relatively compact, and all theSobolev norms are bounded on it. For α>0, there exist trajectories on which everySobolev norm of regularity s>½ , exponentially tends to infinity in time.Second, we study the wave-guide Schrödinger equation posed on the spatial domain(x,y)∈R×T ,i∂_t U+∂_xx U-|D_y |U=|U|² U,(WS)Adapting an idea by Hani–Pausader–Tzvetkov–Visciglia, we establish a modified scattering theory between small solutions to this equation and small solutions to the cubic Szegő equation. Combining this scattering theory with a recent result by Gérard–Grellier, we infer existence of global solutions to (WS) which are unbounded in the space L_x^2 H_y^s (R×T) for every s>½
Pocovnicu, Oana. "Etude d'une équation non linéaire, non dispersive et complètement integrable et de ses perturbations." Phd thesis, Université Paris Sud - Paris XI, 2011. http://tel.archives-ouvertes.fr/tel-00834518.
Full textBadreddine, Rana. "On a DNLS equation related to the Calogero-Sutherland-Moser Hamiltonian system." Electronic Thesis or Diss., université Paris-Saclay, 2024. http://www.theses.fr/2024UPASM008.
Full textThis thesis is devoted to a PDE obtained by A. Abanov et al (J. Phys. A, 2009) from the hydrodynamic limit of the Calogero-Sutherland Hamiltonian system. A nonlinear integrable Schrödinger-type equation on the Hardy space is obtained and has a Lax pair structure on the line and on the circle. The goal of this thesis is to establish, by using the integrability structure of this PDE, some global well-posedness results on the circle, extending down to the critical regularity space. Secondly, we investigate the existence of particular solutions. Thus, we characterize the traveling waves and finite gap potentials of this equation on the circle. Thirdly, we study the zero-dispersion (or semiclassical) limit of this equation on the line and characterize its solutions using an explicit formula
Mike, Hay. "Discrete Lax pairs, reductions and hierarchies." Connect to full text, 2008. http://ses.library.usyd.edu.au/handle/2123/3958.
Full textTitle from title screen (viewed December 12, 2008). Submitted in fulfilment of the requirements for the degree of Doctor of Philosophy to the School of Mathematics and Statistics, Faculty of Science. Includes bibliographical references. Also available in print form.
Perttunen, Kristiina. "Pain after thoracic surgery." Helsinki : University of Helsinki, 2003. http://ethesis.helsinki.fi/julkaisut/laa/kliin/vk/perttunen/.
Full textBooks on the topic "Lax pair"
French Kitty in Las Vegas pair-a-dice. New York: Harry N. Abrams, 2005.
Find full textAustin, Sarat, ed. Pain, death, and the law. Ann Arbor: University of Michigan Press, 2001.
Find full textMaria, Lai, and Fondazione Maria Lai, eds. Maria Lai: Mending pain, weaving hope. [Ulassai]: Fondazione Maria Lai, 2022.
Find full textThe essence of Talmudic law and thought. Northvale, N.J: Jason Aronson, 1993.
Find full textJ, Simmons Richard. California's paid family leave law: SB 1661. 2nd ed. Van Nuys, Calif: Castle Publications, 2004.
Find full textAli en el pais de las maravillas. Barcelona: Debolsillo, 2005.
Find full textZones of pain =: Las zonas del dolor. Fredonia, N.Y: White Pine Press, 1988.
Find full textRajeev, S. G. Integrable Models. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0009.
Full textvarious. Pair-It Stage 2-Lab Pack with Book(s) (Pair-It Software). Steck Vaughn, 1999.
Find full textvarious. Pair-It Stage 3 Lab Pack with Book(s) (Pair-It Software). Steck Vaughn, 1999.
Find full textBook chapters on the topic "Lax pair"
Belyaeva, T. L., V. N. Serkin, Akira Hasegawa, Jingsong He, and Yishen Li. "Generalized Lax Pair Operator Method and Nonautonomous Solitons." In Recent Progress in Operator Theory and Its Applications, 57–76. Basel: Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0346-5_4.
Full textKudryashov, N. A. "Lax Pair and First Integrals for Two of Nonlinear Coupled Oscillators." In Advanced Technologies in Robotics and Intelligent Systems, 25–33. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-33491-8_3.
Full textZhuang, Dawei, and Yuanqu Lin. "Nonlinearization of the Lax Pair for the KdV Equation and Integrable Hamiltonian Systems." In Nonlinear Physics, 92–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-84148-4_12.
Full textRomeiras, Filipe J. "The three-wave Interaction of four waves Revisited: A Lax Pair and Possibly General Solution." In Hamiltonian Mechanics, 321–28. Boston, MA: Springer US, 1994. http://dx.doi.org/10.1007/978-1-4899-0964-0_32.
Full textVu, Pham Loi. "The Bäcklund Transformations Between A Common Solution of Both Linear Equations in The Lax Pair and The Solution of The Associated IBVP for NLEEs on The Half-Line." In Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations, 373–408. 2nd ed. Boca Raton: Chapman and Hall/CRC, 2023. http://dx.doi.org/10.1201/9781003370543-10.
Full textKapaev, A. "Lax pairs for Painlevé equations." In CRM Proceedings and Lecture Notes, 37–48. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/crmp/031/03.
Full textRich, Ben A. "Pain and the law." In The Routledge Handbook of Philosophy of Pain, 401–13. 1 [edition]. | New York : Routledge, 2017. | Series: Routledge handbooks in philosophy: Routledge, 2017. http://dx.doi.org/10.4324/9781315742205-35.
Full textPrice, Donald D. "Pain in Humans, Psychophysical Law." In Encyclopedia of Pain, 2641–46. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-28753-4_3096.
Full textDerbyshire, Stuart W. G. "Fetal pain and the law." In The Routledge Handbook of Philosophy of Pain, 425–35. 1 [edition]. | New York : Routledge, 2017. | Series: Routledge handbooks in philosophy: Routledge, 2017. http://dx.doi.org/10.4324/9781315742205-37.
Full textKuksin, Sergei B. "Linearized Lax-integrable equations." In Analysis of Hamiltonian PDEs, 104–18. Oxford University PressOxford, 2000. http://dx.doi.org/10.1093/oso/9780198503958.003.0006.
Full textConference papers on the topic "Lax pair"
Zheng, Wenxin, and Guangmei Wei. "Lax pair, conservation laws and Darboux transformation of the high-order Lax equation in fluid dynamics." In 11TH ASIAN CONFERENCE ON CHEMICAL SENSORS: (ACCS2015). Author(s), 2017. http://dx.doi.org/10.1063/1.4977372.
Full textKOSTOV, N. A. "ON THE LAX PAIR FOR TWO AND THREE WAVE INTERACTION SYSTEM." In Proceedings of 9th International Workshop on Complex Structures, Integrability and Vector Fields. WORLD SCIENTIFIC, 2009. http://dx.doi.org/10.1142/9789814277723_0017.
Full textIts, Elizabeth. "Lax Pair and the Riemann‐Hilbert Method for Solving Diffraction and Scattering Problems in Geophysics." In Symposium on the Application of Geophysics to Engineering and Environmental Problems 2001. Environment and Engineering Geophysical Society, 2001. http://dx.doi.org/10.4133/1.2922954.
Full textNOUMI, MASATOSHI, and YASUHIKO YAMADA. "A NEW LAX PAIR FOR THE SIXTH PAINLEVÉ EQUATION ASSOCIATED WITH $\widehat{\mathfrak{so}}(8)$." In Proceedings of Modelling and Control of Mechanical Systems. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776594_0016.
Full textIts, Elizabeth. "Lax Pair And The Riemann-Hilbert Method For Solving Diffraction And Scattering Problems In Geophysics." In 14th EEGS Symposium on the Application of Geophysics to Engineering and Environmental Problems. European Association of Geoscientists & Engineers, 2001. http://dx.doi.org/10.3997/2214-4609-pdb.192.ssm_5.
Full textZhang, Yuping, and Wenguang Zhang. "Lax Pair, Hirota Bilinear Form and Soliton Solutions of the Seventh-Order Kaup-Kupershmidt Equation in Plasma Physics." In 2017 International Conference on Mechanical, Electronic, Control and Automation Engineering (MECAE 2017). Paris, France: Atlantis Press, 2017. http://dx.doi.org/10.2991/mecae-17.2017.77.
Full textJingru Qu. "Lax pair and soliton solutions for the generalized nonlinear Schrödinger equation in inhomogeneous optical fiber media." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002420.
Full textMenyuk, Curtis R. "Self-similarity in stimulated Raman scattering." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1992. http://dx.doi.org/10.1364/oam.1992.thn3.
Full textButler, Samuel, and Mike Hay. "Two definitions of fake Lax pairs." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912469.
Full textNianhua Li, Biao Li, Hongmin Li, and Yuqi Li. "Constraint of discrete Lax equations with some special types of Lax pairs." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002535.
Full textReports on the topic "Lax pair"
Moro, Leben, Jennifer Palmer, and Tabitha Hrynick. Considérations clés : Répondre aux inondations au Soudan du Sud par le biais du Nexus Humanitaire- Développement-Paix. Institute of Development Studies, May 2024. http://dx.doi.org/10.19088/sshap.2024.012.
Full textAngel, Sergio, Omara Isabel Ruiz Urquiola, José Raul Gallego, Alenmichel Aguiló, Leonardo Fernández Otaño, Dimas Castellanos, David Gómez Gamboa, and Maria Camila Herrera. Cuba: las muchas secuencias de la depuración ideológica en la academia. Edited by Catalina Rodríguez. 4Métrica, October 2023. http://dx.doi.org/10.56650/9786289583199.
Full textSaba, Tania, Gaëlle Cachat-Rosset, Josianne Marsan, Alain Klarsfeld, and Kevin Carillo. COVID-19 et télétravail : un remède universel ou une solution ponctuelle. Observatoire international sur les impacts sociétaux de l’intelligence artificielle et du numérique, November 2020. http://dx.doi.org/10.61737/ucvl3111.
Full textHicks, Jacqueline, Alamoussa Dioma, Marina Apgar, and Fatoumata Keita. Premiers résultats d'une évaluation de recherche-action systémique au Kangaba, Mali. Institute of Development Studies, April 2024. http://dx.doi.org/10.19088/ids.2024.019.
Full textGonzález Lara, Cristina, and Carmen María Galvez Sánchez. Pain-related fear, fear of movement and pain catastrophizing in fibromyalgia syndrome: a transdiscip. Fundación Avanza, May 2024. http://dx.doi.org/10.60096/fundacionavanza/1952024.
Full textFranco, Maria, and Carlos Scartascini. La política de las políticas públicas: Re-examinando la calidad de las políticas públicas y la capacidades del Estado en América Latina y el Caribe. Inter-American Development Bank, July 2014. http://dx.doi.org/10.18235/0008493.
Full textIregui-Bohórquez, Ana María, and Jesús Otero. Testing the law of one price in retail banking : an analysis for Colombia using a pair-wise approach. Bogotá, Colombia: Banco de la República, September 2012. http://dx.doi.org/10.32468/be.733.
Full textWething, Hilary, and Meredith Slopen. Seattle’s Paid Sick Leave Law Increased Work Hours without Affecting Job Attachment. W.E. Upjohn Institute, 2024. http://dx.doi.org/10.17848/pb2024-67.
Full textFlandin, Simon, Germain Poizat, and Romuald Perinet. Contribuer à la sécurité industrielle «par le facteur humain»: un regard pour aider à (re)penser la formation. Fondation pour une culture de sécurité industrielle, October 2019. http://dx.doi.org/10.57071/207bbe.
Full textKamaté, Caroline. La sécurité, une affaire de professionnels? Intégrer la sécurité aux compétences professionnelles. Fondation pour une culture de sécurité industrielle, October 2018. http://dx.doi.org/10.57071/wpt841.
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