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Time-dependent perturbation theory of KdV soliton

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

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Time-dependent perturbation theory of KdV soliton

Pan Liu-Xian, Yu Hui-You, Yan Jia-Ren
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  • 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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  • Abstract views:  7567
  • PDF Downloads:  812
  • Cited By: 0
Publishing process
  • Received Date:  04 April 2007
  • Accepted Date:  21 June 2007
  • Published Online:  20 March 2008

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