Iterative symmetry search and reduction of a wave water model in 2+1 dimensions

2015/10/16 by P.G. Estévez, Estévez, P. G., Juan D Lejarreta +3
Physics and Astronomy · #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1510.04962

openalex publication_date 2015/10/16 · openalex created_date 2016/07/22 · openalex updated_date 2026/07/28

Abstract

We present the iterative classical point symmetry analysis of a shallow water wave equation in 2+1 dimensions and that of its corresponding nonisospectral, two component Lax pair. A few reductions arise and are identified with celebrate equations in the Physics and Mathematics literature of nonlinear waves. We pay particular attention to the isospectral or nonisospectral nature of the reduced spectral problems.

Related

• Symmetry Reductions and Exact Solutions of Shallow Water Wave Equations
• Shallow Water Wave Systems
• Symmetry analysis of a system of modified shallow-water equations
• Nonlocal symmetries and exact solutions of the (2+1)-dimensional generalised variable coefficient shallow water wave equation
• Symmetry results for the solutions of a partial differential equation arising in water waves