Algebraic travelling waves for the generalized Burgers-Fisher equation

Abstract

Using the denition of algebraic travelling wave solution for general 2-th order differential equations given in [9], we provide the only possible algebraic travelling wave solutions for the celebrated generalized Burgers-Fisher equation.

Mathematics Subject Classication (2010): Primary 34A05; Secondary 34C05, 37C10.

Key words: Travelling wave, generalized Burgers-Fisher equation