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- Title
Shock Waves, Variational Principle and Conservation Laws of a Schamel–Zakharov–Kuznetsov–Burgers Equation in a Magnetised Dust Plasma.
- Authors
EL-Kalaawy, O.H.; Ahmed, Engy A.
- Abstract
In this article, we investigate a (3+1)-dimensional Schamel–Zakharov–Kuznetsov–Burgers (SZKB) equation, which describes the nonlinear plasma-dust ion acoustic waves (DIAWs) in a magnetised dusty plasma. With the aid of the Kudryashov method and symbolic computation, a set of new exact solutions for the SZKB equation are derived. By introducing two special functions, a variational principle of the SZKB equation is obtained. Conservation laws of the SZKB equation are obtained by two different approaches: Lie point symmetry and the multiplier method. Thus, the conservation laws here can be useful in enhancing the understanding of nonlinear propagation of small amplitude electrostatic structures in the dense, dissipative DIAWs’ magnetoplasmas. The properties of the shock wave solutions structures are analysed numerically with the system parameters. In addition, the electric field of this solution is investigated. Finally, we will study the physical meanings of solutions.
- Subjects
SHOCK waves; CONSERVATION laws (Physics); DUSTY plasmas; SOUND waves; PLASMA gases; ELECTRIC fields
- Publication
Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2018, Vol 73, Issue 8, p693
- ISSN
0932-0784
- Publication type
Article
- DOI
10.1515/zna-2018-0080