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Solitary wave solutions for the modified Kadomtsev-Petviashvili equation. (English) Zbl 1151.35423
Summary: By applying the theory of bifurcations of dynamical systems to the modified Kadomtsev-Petviashvili equation which describes soliton propagation in multi-temperature electrons plasmas, a number of solitary waves and kink waves are obtained. Under various parameter conditions, all explicit formulas of solitary waves and kink solutions are given.

MSC:
35Q53KdV-like (Korteweg-de Vries) equations
35Q51Soliton-like equations
37K50Bifurcation problems (infinite-dimensional systems)
82D10Plasmas (statistical mechanics)
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References:
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