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

Journal Article · Wed May 15 00:00:00 EDT 2013 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4804347· OSTI ID:22218598

Kumar Samanta, Utpal ^[1]; Saha, Asit ^[2]; Chatterjee, Prasanta ^[3]

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1. Department of Mathematics, Bankura Christian College, Bankura 722101 (India)
2. Department of Mathematics, Sikkim Manipal Institute of Technology, Majitar, Rangpo, East-Sikkim 737136 (India)
3. Department of Mathematics, Visva Bharati University, Santinekatan 731235 (India)

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.

• OSTI ID: 22218598
• Journal Information: Physics of Plasmas, Vol. 20, Issue 5; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BIFURCATION
ELECTRONS
ION ACOUSTIC WAVES
IONS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
PERIODICITY
PLASMA
PLASMA DENSITY
PLASMA SIMULATION
SOLITONS
SOUND WAVES
TRAVELLING WAVES
WAVE EQUATIONS
WAVE PROPAGATION