等离子声波方程的行波解的动力学行为

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基金项目: 国家自然科学金资助项目(10971085)

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

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

摘要: 对等离子声波方程, 用平面动力系统理论得到了其光滑、非光滑孤立波解和不可数无穷多光滑、非光滑周期波解的存在性．进一步，在给定的参数条件下，得到了保证上述解存在的充分条件．
- 孤立波解 /
- 周期行波解 /
- 波的光滑性 /
- 等离子声波方程
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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