True and Fake Lax Pairs: How to Distinguish Them

DOI10.33581/1561-4085-2020-23-3-338-341zbMath1459.35334arXivnlin/0112027OpenAlexW2114195886MaRDI QIDQ3388232

Sergei Sakovich

Publication date: 5 May 2021

Published in: Nonlinear Phenomena in Complex Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0112027

zbMATH Keywords

invariantsgauge transformationsLax pairsmodified KdV equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (5)

Integrability of One Bilinear Equation: Singularity Analysis and Dimension ⋮ Computation of generating symmetries ⋮ Unnamed Item ⋮ Linearizability and a fake Lax pair for a nonlinear nonautonomous quad-graph equation consistent around the cube ⋮ Remarks on certain two-component systems with peakon solutions

Cites Work

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• Coupled KdV Equations of Hirota-Satsuma Type
• The Short Pulse Equation Is Integrable
• Integrability of Kersten–Krasil’shchik coupled KdV–mKdV equations: singularity analysis and Lax pair
• On zero-curvature representations of evolution equations
• On conservation laws and zero-curvature representations of the Liouville equation
• A Note on Lax Pairs of the Sawada-Kotera Equation

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