Novel soliton-like and multi-solitary wave solutions of (3+1)-dimensional Burgers equation

摘要

In this paper, the (3 + 1)-dimensional Burgers equation is studied by means of Painleve truncation expansion, extended Riccati equation method and Wang's multiple Riccati equations method in Wang and Li [ D. S. Wang, H. Li, Symbolic computation and non-travelling wave solutions of ( 2 + 1)-dimensional non-linear evolution equations, Chaos Soliton Fract. 38 (2008) 383-390]. As a result, some novel soliton-like, complexiton solutions and multi-solitary wave solutions are derived. It is shown that the process to derive them is very direct. Subsequently, an (n + 1)-dimensional Burgers type equation is presented and its solutions are given. (C) 2008 Elsevier Inc. All rights reserved.