Miura transformation between two non-linear equations in 2+1 dimensions

DOI10.1063/1.532421zbMath1001.37059arXivsolv-int/9803007OpenAlexW2092204690MaRDI QIDQ4260512

José M. Cerveró, Pilar G. Estevez

Publication date: 16 December 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9803007

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (8)

Lump Solutions for PDE's: Algorithmic Construction and Classification ⋮ Weakly decaying solutions of nonlinear Schrödinger equation in the plane ⋮ Algorithmic construction of lumps ⋮ Discrete spectrum of \(2 + 1\)-dimensional nonlinear Schrödinger equation and dynamics of lumps ⋮ Darboux transformation and solutions for an equation in 2+1 dimensions ⋮ Dynamics of Lump Solutions in a 2 + 1 NLS Equation ⋮ Miura-reciprocal transformations for non-isospectral Camassa-Holm hierarchies in 2 + 1 dimensions ⋮ Nonlocal symmetry constraints and exact interaction solutions of the (2+1) dimensional modified generalized long dispersive wave equation

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