Stability: Conservation laws, Painlevé analysis and exact solutions for S-KP equation in coupled dusty plasma

Autor: O.H. EL-Kalaawy, S.M. Moawad, Shrouk Wael
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Results in Physics, Vol 7, Iss , Pp 934-946 (2017)
Druh dokumentu: article
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2017.01.007
Popis: The propagation of nonlinear waves in unmagnetized strongly coupled dusty plasma with Boltzmann distributed electrons, iso-nonthermal distributed ions and negatively charged dust grains is considered. The basic set of fluid equations is reduced to the Schamel Kadomtsev-Petviashvili (S-KP) equation by using the reductive perturbation method. The variational principle and conservation laws of S-KP equation are obtained. It is shown that the S-KP equation is non-integrable using Painlevé analysis. A set of new exact solutions are obtained by auto-Bäcklund transformations. The stability analysis is discussed for the existence of dust acoustic solitary waves (DASWs) and it is found that the physical parameters have strong effects on the stability criterion. In additional to, the electric field and the true Mach number of this solution are investigated. Finally, we will study the physical meanings of solutions. Keywords: Coupled dusty plasma, Schamel-Kadomtsev-Petviashvili equation, Conservation law, Painlevé analysis, Auto-Bäcklund transformations, Exact solutions, Mach number and stability
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