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Volume 9, Number 2, 2019, Pages 810-828                                                                DOI:10.11948/2156-907X.20190028
Solitary Waves, periodic peakons, pseudo-peakons and compactons given by three ion-acoustic wave models in electron plasmas
Yan Zhou,Jie Song,Tong Han
Keywords:Bifurcation, singular travelling wave system, solitary wave solution, pseudo-peakon, periodic peakon, compacton, kink and anti-kink wave.
      The nonlinear ion-acoustic oscillations models are governed by three partial differential equation systems. Their travelling wave equations are three first class singular traveling wave systems depending on different parameter groups, respectively. By using the method of dynamical system and the theory of singular traveling wave systems, in this paper, it is shown that there exist parameter groups such that these singular systems have solitary wave solutions, pseudo-peakons, periodic peakons and compactons as well as kink and anti-kink wave solutions. The results of this paper complete the studies of three papers [5,13] and [14].
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