Lie symmetry analysis and reductions of a two-dimensional integrable generalization of the Camassa-Holm equation

DOI10.1016/S0375-9601(00)00474-6zbMath1115.37347OpenAlexW2055261389MaRDI QIDQ997715

A. I. Zenchuk, Murugaian Senthilvelan, Roberto A. Kraenkel

Publication date: 7 August 2007

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(00)00474-6

Mathematics Subject Classification ID

Related Items (14)

Differential form method for finding symmetries of a \((2+1)\)-dimensional Camassa-Holm system based on its Lax pair ⋮ Study on the behavior of oscillating solitons using the \((2+1)\)-dimensional nonlinear system ⋮ Doubly Periodic Propagating Wave Patterns of (2+1)-Dimensional Maccari System ⋮ Integrable generalization of the modified Camassa-Holm equation in \(2 + 1\) dimensions ⋮ Reduction of nonlinear partial differential equation and exact solutions. ⋮ Obtaining multisoliton solutions of the \((2+1)\)-dimensional Camassa-Holm system using Darboux transformations ⋮ A note on solutions of an equation modelling arterial deformation ⋮ Dirichlet series and the integrability of multilinear differential equations ⋮ Local discontinuous Galerkin methods for the two-dimensional Camassa-Holm equation ⋮ Loss-less propagation, elastic and inelastic interaction of electromagnetic soliton in an anisotropic ferromagnetic nanowire ⋮ GENERAL VARIABLE SEPARATION SOLUTION AND EXOTIC LOCALIZED STRUCTURES OF NEW (2+1)-DIMENSIONAL SOLITON EQUATION ⋮ Compacton, peakon and folded localized excitations for the \((2+1)\)-dimensional Broer-Kaup system ⋮ A note on the Painlevé analysis of a \((2+1)\)-dimensional Camassa-Holm equation ⋮ Propagating wave patterns and ``peakons of the Davey-Stewartson system

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