Volume no :7, Issue no: 2, May 2012

PERIODIC WAVE SOLUTIONS AND SOLITARY WAVE SOLUTIONS FOR THE NEW SOLITON EQUATION

Author's: YUANFEN XU
Pages: [63] - [71]
Received Date: January 4, 2012
Submitted by:

Abstract

Some exact travelling wave solutions had been found of new soliton equation. What are the dynamical behaviour of these travelling wave solutions and how do they depend on the parameters of the systems? This paper will answer these questions by using the method of dynamical systems. Three exact explicit parametric representations of the travelling wave solutions for new soliton equation are given.

Keywords

planar dynamical system, solitary wave solution, periodic wave solution, soliton equation.