Special conditional similarity reductions and exact solutions of the (2+1)-dimensional VCBKK system

摘要

In this paper, we present a method of special conditional similarity reductions for nonlinear partial differential equations. As an concrete example of its applications in physical problems, we apply this method to the (2 + l)-dimensional Broer-Kaup-Kupershmidt system with variable coefficients (VCBKK), which has the extensive physics background, and obtain abundant exact solutions derived from some reduction equations. (C) 2006 Elsevier Ltd. All rights reserved.