Travelling wave solutions for some degenerate parabolic equations (II)

Abstract

In this paper, we study the existence and regularity of travelling wave front solutions for some degenerate parabolic equations $$\left( {u^m /m} \right)_t = u_{xx} + u^n f(u),$$ wherem, n > 0 andf(u) ∼ 1 −u. We show that the existence and regularity of travelling wave front solutions depend on the parametersm, n and the wave speedc.