A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION

数学物理学报(英文版) ›› 2003, Vol. 23 ›› Issue (3): 356-.

A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION

潘留仙, 颜家壬, 周光辉

Department of Physics, Hunan City University, Yiyang 413049, China
Physics Department and Institute of Nonlinear Physics, Hunan Normal University, Changsha 410081, China

出版日期:2003-07-14 发布日期:2003-07-14
基金资助:
This work was supported by the National Science Foundation of China (19775013)

A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION

BO Liu-Xian, YA Jia-Ren, ZHOU Guang-Hui

Department of Physics, Hunan City University, Yiyang 413049, China
Physics Department and Institute of Nonlinear Physics, Hunan Normal University, Changsha 410081, China

Online:2003-07-14 Published:2003-07-14
Supported by:
This work was supported by the National Science Foundation of China (19775013)

摘要/Abstract

摘要：

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.

关键词: KdV-MKdV equation, soliton, perturbation

Abstract:

Key words: KdV-MKdV equation, soliton, perturbation

中图分类号:

35Q53

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(英文版), 2003, 23(3): 356-.

BO Liu-Xian, YA Jia-Ren, ZHOU Guang-Hui. A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION[J]. Acta mathematica scientia,Series B, 2003, 23(3): 356-.

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A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION

A DIRECT APPROACH TO THE SOLITON PERTURBATION FOR KdV-MKdV EQUATION

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