Applied Mathematics and Mechanics

, Volume 31, Issue 1, pp 119–124 | Cite as

Dynamical behavior of traveling wave solutions of ion acoustic plasma equations

  • Shu-min Li (李庶民)Email author
  • Tian-lan He (贺天兰)


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 existence of the above solutions.

Key words

solitary traveling wave solution periodic traveling wave solution smoothness of waves ion acoustic plasma equations 

Chinese Librarary Classification


2000 Mathematics Subject Classification



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Copyright information

© Shanghai University and Springer Berlin Heidelberg 2010

Authors and Affiliations

  • Shu-min Li (李庶民)
    • 1
    • 2
    Email author
  • Tian-lan He (贺天兰)
    • 1
  1. 1.Center for Nonlinear Science StudiesKunming University of Science and TechnologyKunmingP. R. China
  2. 2.Oxbridge CollegeKunming University of Science and TechnologyKunmingP. R. China

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