New explicit exact solutions to a nonlinear dispersive－dissipative equation

doi:10.1088/1009-1963/13/2/003

中国物理B ›› 2004, Vol. 13 ›› Issue (2): 139-143.doi: 10.1088/1009-1963/13/2/003

New explicit exact solutions to a nonlinear dispersive－dissipative equation

王克协¹, 那仁满都拉²

(1)College of Physics, Jilin University, Changchun 130023, China; (2)College of Physics, Jilin University, Changchun 130023, China; College of Physics and Electromechanics, Inner Mongolia University for Nationalities, Tongliao 028043, China

收稿日期:2003-06-17 修回日期:2003-07-24 出版日期:2004-02-06 发布日期:2005-07-06
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 40074032).

New explicit exact solutions to a nonlinear dispersive－dissipative equation

Naranmandula (那仁满都拉)^ab, Wang Ke-Xie (王克协)^a

^a College of Physics, Jilin University, Changchun 130023, China; ^b College of Physics and Electromechanics, Inner Mongolia University for Nationalities, Tongliao 028043, China

Received:2003-06-17 Revised:2003-07-24 Online:2004-02-06 Published:2005-07-06
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 40074032).

摘要/Abstract

摘要： Using the first-integral method, we obtain a series of new explicit exact solutions such as exponential function solutions, triangular function solutions, singular solitary wave solution and kink solitary wave solution of a nonlinear dispersive－dissipative equation, which describes weak nonlinear ion-acoustic waves in plasma consisting of cold ions and warm electrons.

关键词: exponential function solution, triangular function solution, solitary wave solution, first integral method, nonlinear dispersive－dissipative equation

Abstract: Using the first-integral method, we obtain a series of new explicit exact solutions such as exponential function solutions, triangular function solutions, singular solitary wave solution and kink solitary wave solution of a nonlinear dispersive－dissipative equation, which describes weak nonlinear ion-acoustic waves in plasma consisting of cold ions and warm electrons.

Key words: exponential function solution, triangular function solution, solitary wave solution, first integral method, nonlinear dispersive－dissipative equation

中图分类号: (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.))

52.35.Mw

那仁满都拉, 王克协. New explicit exact solutions to a nonlinear dispersive－dissipative equation[J]. 中国物理B, 2004, 13(2): 139-143.

Naranmandula (那仁满都拉), Wang Ke-Xie (王克协). New explicit exact solutions to a nonlinear dispersive－dissipative equation[J]. Chinese Physics, 2004, 13(2): 139-143.

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New explicit exact solutions to a nonlinear dispersive－dissipative equation

New explicit exact solutions to a nonlinear dispersive－dissipative equation

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