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Similarity Reductions of Nonisospectral KP Equation by a Direct Method
Authors:HU Xiao-Rui and CHEN Yong
Affiliation:1. Nonlinear Science Center and Department of Mathematics, Ningbo University, Ningbo 315211, China;2. Institute of Theoretical Computing, East China Normal University, Shanghai 200062, China;3. MM Key Lab, Chinese Academy of Sciences, Beijing 100080, China
Abstract:On bases of the direct method developed by Clarkson and Kruskal [J. Math. Phys. 27 (1989) 2201], the (2+1)-dimensional nonisospectral Kadomtsev-Petviashvili (KP) equation has been reduced to three types of (1+1)-dimensional partial differential equations. We focus on solving the third type of reduction and dividing them into three subcases, from which we obtain rich solutions includingsome arbitrary functions.
Keywords:nonisospectral KP equation   similarity reduction   
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