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Dynamical behavior of traveling wave solutions of ion acoustic plasma equations

Dynamical behavior of traveling wave solutions of ion acoustic plasma equations
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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 existence of the above solutions. 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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2010年第1期119-124,共6页 应用数学和力学(英文版)
基金 supported by the National Natural Science Foundation of China (No. 10971085)
关键词 solitary traveling wave solution periodic traveling wave solution smoothness of waves ion acoustic plasma equations solitary traveling wave solution, periodic traveling wave solution, smoothness of waves, ion acoustic plasma equations
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参考文献1

  • 1Yi Li,D. H. Sattinger. Soliton Collisions in the Ion Acoustic Plasma Equations[J] 1999,Journal of Mathematical Fluid Mechanics(1):117~130

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