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

【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.更多还原

【Abstract】 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.更多还原