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NONLINEAR EQUATIONS WITH INTEGRATED OPERATOR STRUCTURES
Вестник Северо-Кавказского федерального университета, 2022 The article is devoted to the construction of nonlinear equations with partial derivatives possessing Lax operator structure. The presence of Lax pair is supposed to allow to integrate the obtained equations with the help of the inverse scattering ...
Valentina M. Karslieva
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On the Propagation Model of Two-Component Nonlinear Optical Waves
Axioms, 2023 Currently, two-component integrable nonlinear equations from the hierarchies of the vector nonlinear Schrodinger equation and the vector derivative nonlinear Schrödinger equation are being actively investigated.
Aleksandr O. Smirnov, Eugeni A. Frolov
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Lax Pairs for Some Nonlinear Equations [PDF]
, 2013 Several methods have been proposed to approach the topic of integrable systems of nonlinear partial differential equations. One of these methods is called the Lax pair.
Castillo, Ana
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Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System
Abstract and Applied Analysis, 2014 Starting from a matrix Lie superalgebra, two-component super AKNS system is constructed. By making use of monononlinearization technique of Lax pairs, we find that the obtained two-component super AKNS system is a finite-dimensional integrable super ...
Jing Yu, Jingwei Han
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Lax pair for strings in Lunin-Maldacena background [PDF]
Journal of High Energy Physics, 2005 Recently Lunin and Maldacena used an SL(3,R) transformation of the AdS_5 x S^5 background to generate a supergravity solution dual to a so-called beta-deformation of N = 4 super Yang-Mills theory. We use a T-duality-shift-T-duality (TsT) transformation to obtain the beta-deformed background for real beta, and show that solutions of string theory ...
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Similarity Analysis of Lax Pairs for a Class of Nonlinear Evolution Equations. [PDF]
The Egyptian International Journal of Engineering Sciences and TechnologyThe similarity transformation (ST) method is applied to reduce the Lax pair for some nonlinear partial differential equations (NLPDEs) into a system of ordinary differential equations (ODEs) to obtain its similarity solutions.
Shaimaa Ahmed, Samah Mabrouk
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Explicit solutions of rational integrable differential-difference equations
Partial Differential Equations in Applied Mathematics, 2022 The rational integrable differential-difference equations are proposed from a different discrete spectral problem. We proved the Liouville integrability of rational integrable differential-difference equations by deriving its bi-Hamiltonian structures ...
Qiulan Zhao, Muhammad Arham Amin
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The Lax pairs for the Holt system [PDF]
Journal of Physics A: Mathematical and General, 1999 By using non-canonical transformation between the Holt system and the Henon-Heiles system the Lax pairs for all the integrable cases of the Holt system are constructed from the known Lax representations for the Henon-Heiles system.
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ΖN graded discrete Lax pairs and integrable difference equations [PDF]
, 2017 We introduce a class of ZN graded discrete Lax pairs, with NxN matrices, linear in the spectral parameter. We give a classification scheme for such Lax pairs and the associated integrable lattice systems.
Fordy, AP +5 more
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Three Types Generalized Zn-Heisenberg Ferromagnet Models
Advances in Mathematical Physics, 2020 By taking values in a commutative subalgebra gln,C, we construct a new generalized Zn-Heisenberg ferromagnet model in (1+1)-dimensions. The corresponding geometrical equivalence between the generalized Zn-Heisenberg ferromagnet model and Zn-mixed ...
Yinfei Zhou +3 more
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