The spectral problem and particular solutions to the \((2+1)\)-dimensional integrable generalization of the Camassa-Holm equation

DOI10.1016/S0167-2789(01)00169-5zbMath0977.35127OpenAlexW1995232876WikidataQ126807133 ScholiaQ126807133MaRDI QIDQ5940208

A. I. Zenchuk

Publication date: 29 July 2001

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(01)00169-5

zbMATH Keywords

hodograph transformationintegrabilitytraveling wave solutions(2+1)-dimensional Camassa-Holm equation\(\overline\partial\)-problem

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (6)

Differential form method for finding symmetries of a \((2+1)\)-dimensional Camassa-Holm system based on its Lax pair ⋮ Integrable generalization of the modified Camassa-Holm equation in \(2 + 1\) dimensions ⋮ Uniformly constructing a series of explicit exact solutions to nonlinear equations in mathematical physics ⋮ Obtaining multisoliton solutions of the \((2+1)\)-dimensional Camassa-Holm system using Darboux transformations ⋮ Dirichlet series and the integrability of multilinear differential equations ⋮ A GENERALIZED LEVI HIERARCHY AND ITS INTEGRABLE COUPLINGS

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