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Time-dependent perturbation theory of KdV soliton

Yu Hui-You Yan Jia-Ren Pan Liu-Xian

Time-dependent perturbation theory of KdV soliton

Yu Hui-You, Yan Jia-Ren, Pan Liu-Xian
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  • Received Date:  04 April 2007
  • Accepted Date:  21 June 2007
  • Published Online:  20 March 2008

Time-dependent perturbation theory of KdV soliton

  • 1. (1)湖南师范大学物理系,长沙 410081; (2)湖南师范大学物理系,长沙 410081;湖南涉外经济学院电子与信息工程系,长沙 410205

Abstract: The effects of the periodical time-dependent perturbation on a KdV (Korteweg de Vries) soliton are studied. Expanding the perturbation term into a Fourier series, we find that the time-independent term will lead to the secular terms. In this paper, the soliton parameters (height, width and velocity) are derived by eliminating the secular terms, and the corrections on a soliton caused by perturbation are obtained with the help of other terms in Fourier series in the first-order approximation.

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