Bifurcations of travelling wave solutions for the generalization form of the modified KdV equation

摘要

By using the theory of bifurcations of dynamical systems to the generalization form of the modified KdV equation, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth and nonsmooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. (C) 2003 Elsevier Ltd. All rights reserved.