A KdV-Type Wronskian Formulation to Generalized KP, BKP and Jimbo–Miwa Equations  

作　　者：Li Cheng Yi Zhang 程丽;张翼(Normal School,Jinhua Polytechnic;Department of Mathematics, Zhejiang Normal University)

机构地区：[1]Normal School, Jinhua Polytechnic, Jinhua 321007, China [2]Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China

出　　处：《Communications in Theoretical Physics》2017年第7期1-5,共5页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant No.11371326

摘　　要：The purpose of this paper is to introduce a class of generaJized nonlinear evolution equations, which can be widely applied to describing a variety of phenomena in nonlinear physical science. A KdV-type Wronskian formulation is constructed by employing the Wronskian conditions of the KdV equation. Applications are made for the （3＋1）- dimensional generalized KP, BKP and Jimbo-Miwa equations, thereby presenting their Wronskian sufficient conditions. An N-soliton solution in terms of Wronskian determinant is obtained. Under a dimensional reduction, our results yield Wronskian solutions of the KdV equation.

关 键 词：generalized KP BKP and Jimbo-Miwa equations the KdV equation Wronskian formulation dimensional reduction 

分 类 号：O175[理学—数学]