| A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION |
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| 引用本文： | 潘留仙,颜家壬,周光辉. A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION[J]. 数学物理学报(B辑英文版), 2003, 23(3): 356-360. DOI: 10.1016/S0252-9602(17)30343-0 |
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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： | 2001-05-14 |
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. DOI: 10.1016/S0252-9602(17)30343-0 |
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| Authors: | Pan Liuxian |
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| Affiliation: | Pan Liuxian Department of Physics,Hunan City University,Yiyang 413049,ChinaYan Jiaren Zhou GuanghuiPhysics 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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