中国物理B ›› 2009, Vol. 18 ›› Issue (2): 391-394.doi: 10.1088/1674-1056/18/2/002

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Direct perturbation method for perturbed complex Burgers equation

程雪苹1, 姚建明2, 林机3   

  1. (1)Physics, Mathematics and Information College of Zhejiang Ocean University, Zhoushan 316004, China; (2)Physics, Mathematics and Information College of Zhejiang Ocean University, Zhoushan 316004, China; (3)Physics, Mathematics and Information Engineering College of Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2008-08-28 修回日期:2008-10-16 出版日期:2009-02-20 发布日期:2009-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575087 and 10875106).

Direct perturbation method for perturbed complex Burgers equation

Cheng Xue-Ping(程雪苹)a)†, Lin Ji(林机)b), and Yao Jian-Ming(姚建明)a)   

  1. a Physics, Mathematics and Information College of Zhejiang Ocean University, Zhoushan 316004, China; b Physics, Mathematics and Information Engineering College of Zhejiang Normal University, Jinhua 321004, China
  • Received:2008-08-28 Revised:2008-10-16 Online:2009-02-20 Published:2009-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575087 and 10875106).

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摘要： So far, Lou's direct perturbation method has been applied successfully to solve the nonlinear Schr?dinger equation(NLSE) hierarchy, such as the NLSE, the coupled NLSE, the critical NLSE, and the derivative NLSE. But to our knowledge, this method for other types of perturbed nonlinear evolution equations has still been lacking. In this paper, Lou's direct perturbation method is applied to the study of perturbed complex Burgers equation. By this method, we calculate not only the zero-order adiabatic solution, but also the first order modification.

关键词: direct perturbation method, perturbed complex Burgers equation, asymptotical solutions

Abstract: So far, Lou's direct perturbation method has been applied successfully to solve the nonlinear Schrödinger equation(NLSE) hierarchy, such as the NLSE, the coupled NLSE, the critical NLSE, and the derivative NLSE. But to our knowledge, this method for other types of perturbed nonlinear evolution equations has still been lacking. In this paper, Lou's direct perturbation method is applied to the study of perturbed complex Burgers equation. By this method, we calculate not only the zero-order adiabatic solution, but also the first order modification.

Key words: direct perturbation method, perturbed complex Burgers equation, asymptotical solutions

中图分类号:  (Solitons)

  • 05.45.Yv
02.30.Jr (Partial differential equations)