| A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION |
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| 作者姓名： | 潘留仙 颜家壬 周光辉 |
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| 作者单位： | Department of Physics，Hunan City University，Yiyang 413049，China，Physics Department and Institute of Nonlinear Physics，Hunan Normal University，Changsha 410081，China，Physics Department and Institute of Nonlinear Physics，Hunan Normal University，Changsha 410081，China |
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| 基金项目： | the National Science Foundation of China(19775013) |
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| 摘 要： | The authors develop a direct approach to the soliton perturbation based on theseparation of variables. With the aid of approach, the first-order effects of perturbation ona KdV-MKdV soliton are derived, both the slow time-dependence of the soliton parametersand the first-order correction are obtained.
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| 收稿时间： | 14 May 2001 |
A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION |
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| Pan Liuxian.A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION[J].Acta Mathematica Scientia,2003,23(3):356-360. |
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| Authors: | Pan Liuxian |
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| Institution: | Pan Liuxian Department of Physics,Hunan City University,Yiyang 413049,China
Yan Jiaren Zhou Guanghui
Physics Department and Institute of Nonlinear Physics,Hunan Normal University,Changsha 410081,China |
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| Abstract: | The authors develop a direct approach to the soliton perturbation based on the separation of variables. With the aid of approach, the first-order effects of perturbation on a KdV-MKdV soliton are derived, both the slow time-dependence of the soliton parameters and the first-order correction are obtained. |
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| Keywords: | KdV-MKdV equation soliton perturbation |
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