NEW SOLITON-LIKE SOLUTIONS TO THE TWO-DIMENSIONAL VARIABLE COEFFICIENT BURGERS EQUATION

Yuan Xiao (P. R. China)

Received December 29, 2007

Abstract

In this paper, the extended projective Riccati equations method is proposed and then the two-dimensional variable coefficient Burgers equation is chosen to illustrate the method. As a result, two families of exact soliton-like solutions for this equation are obtained.

Keywords and phrases: symbolic computation, projective Riccati equations, soliton-like solutions, two-dimensional variable coefficient Burgers equation.