Multiple-front solutions for the Burgers-Kadomtsev-Petviashvili equation

In this work, we study a completely integrable dissipative equation. The Burgers equation is extended by using the sense of the Kadomtsev-Petviashvili (KP) equation. The new established Burgers-KP equation is studied by using the tanh-coth method to obtain kink solutions and periodic solutions. We also apply the powerful Hirota's bilinear method to establish exact N-soliton solutions for the derived integrable equation. (C) 2007 Elsevier Inc. All rights reserved.