Bifurcations of nonlinear ion acoustic travelling waves in the frame of a Zakharov-Kuznetsov equation in magnetized plasma with a kappa distributed electron

被引:85
|
作者
Samanta, Utpal Kumar [1 ,2 ]
Saha, Asit [3 ]
Chatterjee, Prasanta [2 ]
机构
[1] Bankura Christian Coll, Dept Math, Bankura 722101, India
[2] Visva Bharati Univ, Dept Math, Santini Ketan 731235, W Bengal, India
[3] Sikkim Manipal Inst Technol, Dept Math, Rangpo 737136, East Sikkim, India
关键词
SOLITARY WAVES;
D O I
10.1063/1.4804347
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Bifurcations of nonlinear propagation of ion acoustic waves (IAWs) in a magnetized plasma whose constituents are cold ions and kappa distributed electron are investigated using a two component plasma model. The standard reductive perturbation technique is used to derive the Zakharov-Kuznetsov (ZK) equation for IAWs. By using the bifurcation theory of planar dynamical systems to this ZK equation, the existence of solitary wave solutions and periodic travelling wave solutions is established. All exact explicit solutions of these travelling waves are determined. The results may have relevance in dense space plasmas. (C) 2013 AIP Publishing LLC.
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页数:5
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