Exact Solutions and Localized Structures for a (3+1)-Dimensional Burgers Equation

Abstract

A (3+1)-dimensional Burgers equation is studied by the singular manifold method. By choosing dierent seed solutions, auto-Bäcklund transformation, the ColeHopf transformation and a functional separation exact solution containing two low dimensional arbitrary functions are obtained for the equation in question. Some interesting localized coherent structures are given and their interaction properties are numerically studied. Some new nonlinear phenomena are reported.