On integrability of one third-order nonlinear evolution equation

DOI10.1016/S0375-9601(03)00937-XzbMath1025.35026arXivnlin/0303040OpenAlexW2150126472MaRDI QIDQ1396870

Sergei Sakovich

Publication date: 13 July 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0303040

zbMATH Keywords

Korteweg-de Vries equationplane curve motionsecond-order recursion operator

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) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Curves in Euclidean and related spaces (53A04)

Related Items (7)

Transformation and integrability of a generalized short pulse equation ⋮ Unnamed Item ⋮ Enlarged spectral problems and nonintegrability ⋮ On normal forms of irreducible \(\mathfrak{sl}_n\)-valued zero-curvature representations ⋮ True and Fake Lax Pairs: How to Distinguish Them ⋮ Integrability of a nonlinear evolution equation derived from isoperimetric plane curve motion ⋮ Smooth soliton solutions of a new integrable equation by Qiao

Cites Work

• Unnamed Item
• The Modified Korteweg-de Vries Equation
• Fujimoto-Watanabe equations and differential substitutions
• On Miura transformations of evolution equations
• Integrable equations arising from motions of plane curves

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