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