N-soliton-typed solution in terms of Wronskian determinant for a forced variable-coefficient Korteweg-de Vries equation
首发时间:2007-01-15
Abstract:In this paper, we first derive the bilinear form and auto-Backlund transformation for a variable-coefficient Korteweg-de Vries-typed (vcKdV) equation with external-force term. Then, we obtain the N-soliton-typed solution in terms of Wronskian form, which is proved to be indeed an exact solution of this equation through Wronskian technique. In addition, we show that the (N-1)- and N-soliton-typed solutions satisfy the auto-Backlund transformation by using the same method.
keywords: Variable-coefficient Korteweg-de Vries equation Auto-Backlund transformation N-soliton-typed solution Wronskian determinant
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N-soliton-typed solution in terms of Wronskian determinant for a forced variable-coefficient Korteweg-de Vries equation
摘要:In this paper, we first derive the bilinear form and auto-Backlund transformation for a variable-coefficient Korteweg-de Vries-typed (vcKdV) equation with external-force term. Then, we obtain the N-soliton-typed solution in terms of Wronskian form, which is proved to be indeed an exact solution of this equation through Wronskian technique. In addition, we show that the (N-1)- and N-soliton-typed solutions satisfy the auto-Backlund transformation by using the same method.
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N-soliton-typed solution in terms of Wronskian determinant for a forced variable-coefficient Korteweg-de Vries equation
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