Steady bifurcation and solitary waves of modified equal width equation

摘要

In this paper, steady bifurcation and solitary waves of modified equal width equation are presented. Steady bifurcation, bistability and bi-instability are analyzed by selecting the integration constant as the bifurcation control parameter. Different conditions expressed in terms of the bifurcation control parameter give the existence of solitary waves. In particular, all kinds of solitary wave solutions are given by direct integration.