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《Communications in Theoretical Physics》 2017年07期
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A KdV-Type Wronskian Formulation to Generalized KP, BKP and Jimbo–Miwa Equations

程丽  张翼  
【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 Kd V-type Wronskian formulation is constructed by employing the Wronskian conditions of the Kd V 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 Kd V equation.
【作者单位】Normal
【基金】:Supported by the National Natural Science Foundation of China under Grant No.11371326
【分类号】:O175

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