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

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2017,（7）
• 页码范围: 1-5
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0253-6102/68/1/1

摘要

The purpose of this paper is to introduce a class of generalized 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.