Relations between travelling wave solutions of quasilinear parabolic equations

Abstract

A transformation between travelling wave solutions of v t = v x x + f ( v ) {v_t} = {v_{xx}} + f\left ( v \right ) and u t = ( D ( u ) u x ) x + g ( u ) {u_t} = {\left ( {D\left ( u \right ){u_x}} \right )_x} + g\left ( u \right ) is given.