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.
Received: 25 June 2004
Revised: 23 August 2004
Accepted manuscript online:
Fund: 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
Cite this article:
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) The adiabatic approximation solutions of cylindrical and spherical dust ion-acoustic solitary waves 2005 Chinese Physics 14 33
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