Dynamical Behavior of Traveling Wave Solutions in the Ion Acoustic Plasma Equations

LI Shu-min; HE Tian-lan

doi:10.3879/j.issn.1000-0887.2010.01.012

Volume 31 Issue 1

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LI Shu-min, HE Tian-lan. Dynamical Behavior of Traveling Wave Solutions in the Ion Acoustic Plasma Equations[J]. Applied Mathematics and Mechanics, 2010, 31(1): 111-116. doi: 10.3879/j.issn.1000-0887.2010.01.012

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Dynamical Behavior of Traveling Wave Solutions in the Ion Acoustic Plasma Equations

doi: 10.3879/j.issn.1000-0887.2010.01.012

LI Shu-min^1,2,
HE Tian-lan¹

1.
Center for Nonlinear Science Studies, Kunming University of Science and Technology, Kunming 650093, P. R. China;

Received Date: 2009-08-31
Rev Recd Date: 2009-11-26
Publish Date: 2010-01-15

Abstract

Abstract

By using the theory of planar dynamical systems to the ion acoustic plasm a equations, the existence of smooth and non-smooth solitary wave solution s and uncountably infinite smooth and non-smooth periodic wave solutions is obtained. Furthermore, Under given parametric conditions, the sufficient conditions which guarantee the existence of the above solutions are given.
- solitary traveling wave solution,
- periodic traveling wave solution,
- smoothness of waves,
- ion acoustic plasma equations

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References(5)

References

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