Invariant manifolds of hyperbolic integrable equations and their applications

DOI10.1007/s10958-021-05491-3zbMath1471.35201arXiv1703.09897OpenAlexW3194418839WikidataQ115603676 ScholiaQ115603676MaRDI QIDQ2047419

A. R. Khakimova, Ismagil T. Habibullin

Publication date: 20 August 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09897

zbMATH Keywords

integrabilityrecursion operatorinvariant manifoldLax pairquad equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Second-order nonlinear hyperbolic equations (35L70) Partial difference equations (39A14)

Related Items (4)

An algebraic criterion of the Darboux integrability of differential-difference equations and systems ⋮ Symmetry structure of integrable hyperbolic third order equations ⋮ Laplace transformations and sine-Gordon type integrable PDE ⋮ Integrals and characteristic Lie rings of semi-discrete systems of equations

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