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Generalized symmetries and conservation laws of (3+1)-dimensional variable coefficient Zakharov-Kuznetsov equation. (English) Zbl 1474.35473

Summary: The nonlinear variable coefficient Zakharov-Kuznetsov (Vc-ZK) equation is derived using reductive perturbation technique for ion-acoustic solitary waves in magnetized three-component dusty plasma having negatively charged dust particles, isothermal ions, and electrons. The equation is investigated for generalized symmetries using a recently proposed compatibility method. Some more general symmetries are obtained and group invariant solutions are also constructed for these symmetries. Besides this, the equation is also investigated for nontrivial local conservation laws.

MSC:

35L65 Hyperbolic conservation laws
70G65 Symmetries, Lie group and Lie algebra methods for problems in mechanics
70S10 Symmetries and conservation laws in mechanics of particles and systems
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