Similarity Reductions of Nonisospectral KP Equation by a Direct Method |
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Authors: | HU Xiao-Rui and CHEN Yong |
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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 |
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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. |
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Keywords: | nonisospectral KP equation similarity reduction |
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