New Exact Solutions of the CDGSK Equation Related to a Non-local Symmetry

^*Fudan-T. D. Lee Physics Laboratory, Fudan University, Shanghai 200433; and Institute of Modern Physics, Ningbo Normal College, Ningbo 315211 (mailing address) Institute of Modern Physics, Ningbo Normal College, Ningbo 315211

Published Date: September 30, 1994

Abstract

A non-local symmetry of the Caudrey-Dodd-Gibbon-Sawada-Kotera (CDGSK) equation has been used for finding exact solution in two different ways. Firstly, using the standard prolongation approach, we obtain the finite Lie Bäcklund transformation and the single soliton solution. Secondly, combining some local symmetries and the nonlocal symmetry, we get the group invariant solution which is described by the Weierstrass elliptic function and is deduced to the so-called interacting soliton for a special parameter.