期刊
RESULTS IN PHYSICS
卷 7, 期 -, 页码 934-946出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.rinp.2017.01.007
关键词
Coupled dusty plasma; Schamel-Kadomtsev-Petviashvili equation; Conservation law; Painleve analysis; Auto-Backlund transformations; Exact solutions; Mach number and stability
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 Painlev, analysis. A set of new exact solutions are obtained by auto-Backlund 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. (C) 2017 The Authors. Published by Elsevier B. V. This is an open access article under the CC BY-NC-ND license.
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