Wronskian Form Solutions for a Variable Coefficient Kadomtsev-Petviashvili Equation  

作　　者：LU Zhuo-Sheng REN Wen-Xiu 

机构地区：[1]School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China [2]School of Science, Inner Mongolia University of Technology, Hohhot 010051, China

出　　处：《Communications in Theoretical Physics》2014年第3期339-343,共5页理论物理通讯（英文版）

基　　金：Supported by the Fundamental Research Funds for the Central Universities under Grant No. BUPT2013RC0902

摘　　要：Starting from a simple transformation, and with the aid of symbolic computation, we establish the relationship between the solution of a generalized variable coefficient Kadomtsev–Petviashvili(vKP) equation and the solution of a system of linear partial differential equations. According to this relation, we obtain Wronskian form solutions of the vKP equation, and further present N-soliton-like solutions for some degenerated forms of the vKP equation. Moreover,we also discuss the influences of arbitrary constants on the soliton and N-soliton solutions of the KPII equation.

关 键 词：variable coefficient KP equation wronsian form solution multi-soliton-like solution symboliccomputation 

分 类 号：O175.29[理学—数学] O241.6[理学—基础数学]