Second order Lax pairs of nonlinear partial differential equations with Schwarz variants

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

In this paper, we study the possible second order Lax operators for all the possible (1+1)-dimensional models with Schwarz variants and some special types of high dimensional models. It is shown that for every (1+1)-dimensional model and some special types of high dimensional models which possess Schwarz variants may have a second order Lax pair. The exiplicit Lax pairs for (1+1)-dimensional Korteweg de Vries equation, Harry Dym equation, Boussinesq equation, Caudry-Dodd-Gibbon-Sawada-Kortera equation, Kaup-Kupershmidt equation, Riccati equation, (2+1)-dimensional breaking soliton equation and a generalized (2+1)-dimensional fifth order equation are given.
12 pages, 0 figures, LaTeX form

Keywords

Exactly Solvable and Integrable Systems, Pattern Formation and Solitons

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/80080

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0108045
 http://arxiv.org/abs/nlin/0108045

Collections

arXiv