On a method for constructing the Lax pairs for nonlinear integrable equations

DOI10.1088/1751-8113/49/3/035202zbMath1359.37133arXiv1506.02563OpenAlexW3101757190MaRDI QIDQ2994561

A. R. Khakimova, Mariya Poptsova, Ismagil T. Habibullin

Publication date: 2 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02563

zbMATH Keywords

symmetryrecursion operatorinvariant manifolddiscrete equationsLax pairLaplace sequencesine-Gordon type equations

Mathematics Subject Classification ID

Related Items (12)

A direct algorithm for constructing recursion operators and Lax pairs for integrable models ⋮ Construction of exact solutions to the Ruijsenaars–Toda lattice via generalized invariant manifolds ⋮ An upper order bound of the invariant manifold in Lax pairs of a nonlinear evolution partial differential equation ⋮ Invariant manifolds and Lax pairs for integrable nonlinear chains ⋮ Laplace transformations and sine-Gordon type integrable PDE ⋮ On description of generalized invariant manifolds for nonlinear equations ⋮ Generalized invariant manifolds for integrable equations and their applications ⋮ Invariant manifolds of hyperbolic integrable equations and their applications ⋮ On a method for constructing the Lax pairs for integrable models via a quadratic ansatz ⋮ On one integrable discrete system ⋮ On the recursion operators for integrable equations ⋮ Invariant manifolds and separation of the variables for integrable chains

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