中国物理B ›› 2005, Vol. 14 ›› Issue (1): 33-36.doi: 10.1088/1009-1963/14/1/007

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The adiabatic approximation solutions of cylindrical and spherical dust ion-acoustic solitary waves

吕克璞, 豆福全, 孙建安, 段文山, 石玉仁   

  1. College of Physics and Electronics Engineering,Northwest Normal University, Lanzhou 730070, China
  • 收稿日期:2004-06-25 修回日期:2004-08-23 出版日期:2005-01-20 发布日期:2005-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10247008 and 10475074), the Natural Science Foundation of Gansu Province, China (Grant No YS021-A22-018), the Scientific Research Foundation for the Returned

The adiabatic approximation solutions of cylindrical and spherical dust ion-acoustic solitary waves

Lü Ke-Pu (吕克璞), Dou Fu-Quan (豆福全), Sun Jian-An (孙建安), Duan Wen-Shan (段文山), Shi Yu-Ren (石玉仁)   

  1. College of Physics and Electronics Engineering,Northwest Normal University, Lanzhou 730070, China
  • Received:2004-06-25 Revised:2004-08-23 Online:2005-01-20 Published:2005-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10247008 and 10475074), the Natural Science Foundation of Gansu Province, China (Grant No YS021-A22-018), the Scientific Research Foundation for the Returned

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摘要： By using the equivalent particle theory, the adiabatic approximation solutions of the Korteweg--deVries type equation (including KdV equation, cylindrical KdV equation and spherical KdV equation) in dust ion-acoustic solitary waves were obtained. The method can be extended to other nonlinear evolution equations.

关键词: KdV type equation, equivalent particle theory, adiabatic approximation solutions

Abstract: By using the equivalent particle theory, the adiabatic approximation solutions of the Korteweg--deVries type equation (including KdV equation, cylindrical KdV equation and spherical KdV equation) in dust ion-acoustic solitary waves were obtained. The method can be extended to other nonlinear evolution equations.

Key words: KdV type equation, equivalent particle theory, adiabatic approximation solutions

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