■-dressing method for the complex modified KdV equation |
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作者姓名: | Shuxin Yang Biao Li |
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作者单位: | 1. School of Mathematics and Statistics, Ningbo University;2. School of Foundation Studies, Zhejiang Pharmaceutical University |
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基金项目: | supported by the National Natural Science Foundation of China (Grant No. 12175111, 11975131); |
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摘 要: | The dressing method based on the 2 × 2 matrix ■-problem is generalized to study the complex modified KdV equation(cmKdV). Through two linear constraint equations, the spatial and time spectral problems related to the cmKdV equation are derived. The gauge equivalence between the cmKdV equation and the Heisenberg chain equation is obtained. Using a recursive operator,a hierarchy of cmKdV with source is proposed. On the basis of the ■-equation, the N-solition solutions of the cmKdV equation are obt...
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