Variable-Coefficient Hyperbola Function Method and Its Application to (2+1)-Dimensional Va

Variable-Coefficient Hyperbola Function Method and Its Application to (2+1)-Dimensional Variable-Coefficient Broer-Kaup System

HUANG Ding-Jiang;ZHANG Hong-Qing

【期刊名称】《理论物理通讯（英文版）》 【年(卷),期】2004(042)010

【摘要】Based on a new intermediate transformation, a variable-coefficient hyperbola function method is proposed.Being concise and straightforward, it is applied to the (2+1)-dimensional variable-coefficient Broer Kaup system. As a result, several new families of exact soliton-like solutions are obtained, besides the travelling wave. When imposing some conditions on them, the new exact solitary wave solutions of the (2+1)-dimensional Broer-Kaup system are given. The method can be applied to other variable-coefficient nonlinear evolution equations in mathematical physics. 【总页数】4页(481-484)

【关键词】variable coefficient;nonlinear evolution equations;hyperbola function method;soliton-like solu tions

【作者】HUANG Ding-Jiang;ZHANG Hong-Qing

【作者单位】Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China;Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China