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Painlevé integrability and N-soliton solution for the variable-coefficient Zakharov-Kuznetsov equation from plasmas.

Painlevé integrability and N-soliton solution for the variable-coefficient Zakharov-Kuznetsov equation from plasmas.

Authors :
Qi-Xing Qu
Bo Tian
Wen-Jun Liu
Min Li
Kun Sun
Source :
Nonlinear Dynamics; Oct2010, Vol. 62 Issue 1/2, p229-235, 7p, 3 Graphs
Publication Year :
2010

Abstract

With the help of symbolic computation, this paper investigates the variable-coefficient Zakharov-Kuznetsov equation which governs the two-dimensional ion-acoustic waves obliquely propagating in an inhomogeneous magnetized two-ion-temperature dusty plasma. The integrability of this model is examined through the Painlevé analysis. Via the Hirota method, the bilinear form of such model is derived. Based on the obtained bilinear form, the N-soliton solution is constructed. Propagation characteristics and interaction behaviors of the solitons are discussed through the graphical analysis. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0924090X
Volume :
62
Issue :
1/2
Database :
Complementary Index
Journal :
Nonlinear Dynamics
Publication Type :
Academic Journal
Accession number :
53723613
Full Text :
https://doi.org/10.1007/s11071-010-9713-7