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N-Soliton Solutions of (2+1)-Dimensional Non-isospectral AKNS System
Authors:ZHANG Xiao-Xian and SUN Ye-Peng
Institution:1. Department of Mathematics, Lanzhou City University, Lanzhou 730070, China ;2. School of Statistics and Mathematics, Shandong Economic University, Jinan 250014, China
Abstract:The bilinear form of the (2+1)-dimensional non-isospectral AKNS system is derived. Its N-soliton solutions are obtained by using the Hirota method. As a reduction, a (2+1)-dimensional non-isospectral Schrödinger equation and its N-soliton solutions are constructed.
Keywords:non-isospectral AKNS system  Hirota method  N-soliton solution  non-isospectral Schrödinger equation                                                                                                
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