International Journal of Mathematics and Mathematical Sciences
Volume 2009 (2009), Article ID 539187, 10 pages
doi:10.1155/2009/539187
Research Article

Exact Solutions and Localized Structures for Higher-Dimensional Burgers Systems

Yan-ze Peng

School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China

Received 3 July 2009; Revised 10 December 2009; Accepted 23 December 2009

Academic Editor: Prabir Daripa

Copyright © 2009 Yan-ze Peng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A (2+1) dimensional Burgers equation and a coupled higher dimensional Burgers system is studied by the singular manifold method. The Bäcklund transformations are obtained. Some interesting exact solutions are given. Then localized structures, such as dromion and solitoff, are found, and their interaction properties are numerically studied. The fusion phenomena of two dromions, a dromion and a solitoff, are for the first time reported.