中国物理B ›› 2005, Vol. 14 ›› Issue (1): 28-32.doi: 10.1088/1009-1963/14/1/006

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Direct approach to perturbation theory for bright solitons

颜家壬, 敖胜美, 俞慧友   

  1. Department of Physics, Hunan Normal University, Changsha,410081, China
  • 收稿日期:2004-05-20 修回日期:2004-06-30 出版日期:2005-01-20 发布日期:2005-01-20
  • 基金资助:
    Project supported by National Natural Science Foundation of China (Grant No 10375022).

Direct approach to perturbation theory for bright solitons

Yan Jia-Ren (颜家壬), Ao Sheng-Mei (敖胜美), Yu Hui-You (俞慧友)   

  1. Department of Physics, Hunan Normal University, Changsha,410081, China
  • Received:2004-05-20 Revised:2004-06-30 Online:2005-01-20 Published:2005-01-20
  • Supported by:
    Project supported by National Natural Science Foundation of China (Grant No 10375022).

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摘要： A direct approach to perturbation theory for the nonlinear Schr\"{o}dinger equation is developed based on the separation of variables. The first-order effects of perturbation on a bright soliton, i.e. the slow time dependence of soliton parameters and the first-order correction are derived.

关键词: bright soliton, nonlinear Schr\"{o}dinger equation, soliton perturbation

Abstract: A direct approach to perturbation theory for the nonlinear Schr?dinger equation is developed based on the separation of variables. The first-order effects of perturbation on a bright soliton, i.e. the slow time dependence of soliton parameters and the first-order correction are derived.

Key words: bright soliton, nonlinear Schr?dinger equation, soliton perturbation

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  • 0340K