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Exact Solutions for a Nonisospectral and Variable-Coefficient KdV Equation
Authors:DENG Shu-Fang
Affiliation:Institute of Mathematics, Fudan University, Shanghai 200433, China
Abstract:The bilinear form for a nonisospectral and variable-coefficient KdV equationis obtained and some exact soliton solutions are derived throughHirota method and Wronskian technique. We also derive the bilinear transformation from its Lax pairs and find solutions withthe help of the obtained bilinear transformation.
Keywords:nonisospectral and variable-coefficient KdV equation   Hirotamethod   Wronskian technique   transformation   
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