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Zhao, Xiaoshan; Zhou, Hongxian; Tang, Yaning; Jia, Huabing

Travelling wave solutions for modified Zakharov-Kuznetsov equation. (English) Zbl 1143.76063

Appl. Math. Comput. 181, No. 1, 634-648 (2006).
Summary: By applying the theory of bifurcations of dynamical systems to modified Zakharov-Kuznetsov equation which describes wave propagation in isothermal multicomponent magnetized plasmas, we obtain solutions for solitary waves and periodic waves and kink waves. Under various parameter conditions, we give explicit formulas for solitary waves solutions, periodic waves solutions and kink waves solutions.

Cited in 9 Documents

MSC:

76X05 Ionized gas flow in electromagnetic fields; plasmic flow
35Q51 Soliton equations

Keywords:

solitary wave; kink wave; theory of bifurcation
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\textit{X. Zhao} et al., Appl. Math. Comput. 181, No. 1, 634--648 (2006; Zbl 1143.76063)
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References:

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