TRAVELLING WAVE SOLUTIONS IN A CHAIN MODEL WITH SHAPE DEFORMABLE POTENTIAL

Aiyong Chen (P. R. China), Zhongjun Ma (P. R. China) and Wentao Huang (P. R. China)

Received January 19, 2008

Abstract

By using the method of planar dynamical systems to a chain model, the existence of periodic travelling wave, solitary wave and kink wave solutions is proved in the different parametric conditions. The phase portraits of the travelling wave system are given. Moreover, some exact parametric representations of these waves are obtained.

Keywords and phrases: bifurcation theory, periodic wave solution, solitary wave solution, kink and anti-kink wave solution.