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Dust-ion-acoustic solitary waves in a hot magnetized dusty plasma with charge fluctuations. (English) Zbl 1084.35070

The paper presents analysis of a system of hydrodynamic equations describing nonlinear wave propagation in a model combining very heavy dust particle with negative electric charge, positively charged ions, and electrons. By means of the known reductive perturbation technique, an asymptotic equation for small-amplitude long-wave excitations is derived. The asymptotic equation turns out to be the Korteweg-de Vries equation, which naturally gives rise to solitons. The paper also reports results of some direct numerical simulations of the underlying system.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76T15 Dusty-gas two-phase flows
35Q51 Soliton equations
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