On solitary wave solutions for the two-dimensional nonlinear modified Kortweg-de Vries-Burger equation

In this paper, we construct an analytic solution of the nonlinear modified Kortweg-de Vries-Burger equation. By applying a special solution of Cole-Hopf transformation to an ordinary differential equation, we propose a bounded travelling wave solution u(x, y, t) = U(xi) where xi = kx + 1y - wt, to the two-dimensional nonlinear modified Kortweg-de Vries-Burger equation. We use Jacobian and rational methods to calculate the solitary wave solutions for the two-dimensional modified Kortweg-de Vries-Burger equation. (c) 2005 Elsevier Ltd. All rights reserved.