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Applied Mathematics and Mechanics (English Edition) ›› 2010, Vol. 31 ›› Issue (1): 119-124.doi: https://doi.org/10.1007/s10483-010-0112-x

• Articles • 上一篇    下一篇

Dynamical behavior of traveling wave solutions of ion acoustic plasma equations

李庶民1,2 贺天兰1   

  1. 1. Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming 650093, P. R. China;
    2. Oxbridge College, Kunming University of Science and Technology, Kunming 650106, P. R. China
  • 收稿日期:2009-08-31 修回日期:2009-11-26 出版日期:2010-01-03 发布日期:2010-01-01

Dynamical behavior of traveling wave solutions of ion acoustic plasma equations

 LI Shu-Min1,2, HE Tian-Lan1   

  1. 1. Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming 650093, P. R. China;
    2. Oxbridge College, Kunming University of Science and Technology, Kunming 650106, P. R. China
  • Received:2009-08-31 Revised:2009-11-26 Online:2010-01-03 Published:2010-01-01

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1238

被引次数

4

摘要： By using the theory of planar dynamical systems to the ion acoustic plasma equations, we obtain the existence of the solutions of the smooth and non-smooth solitary waves and the uncountably infinite smooth and non-smooth periodic waves. Under the given parametric conditions, we present the sufficient conditions to guarantee the exis-tence of the above solutions.

关键词: solitary traveling wave solution, periodic traveling wave solution, smooth-ness of waves, ion acoustic plasma equations

Abstract: By using the theory of planar dynamical systems to the ion acoustic plasma equations, we obtain the existence of the solutions of the smooth and non-smooth solitary waves and the uncountably infinite smooth and non-smooth periodic waves. Under the given parametric conditions, we present the sufficient conditions to guarantee the exis-tence of the above solutions.

Key words: solitary traveling wave solution, periodic traveling wave solution, smooth-ness of waves, ion acoustic plasma equations

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