Dynamics of low dimensional model for weakly relativistic Zakharov equations for plasmas

Journal Article · Wed May 15 04:00:00 EDT 2013 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4804340· OSTI ID:22218606

Sahu, Biswajit ^[1]; Pal, Barnali; Poria, Swarup ^[2]; Roychoudhury, Rajkumar ^[3]

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1. Department of Mathematics, West Bengal State University, Barasat, Kolkata-700126 (India)
2. Department of Applied Mathematics, University of Calcutta, Kolkata-700009 (India)
3. Physics and Applied Mathematics Unit, Indian Statistical Institute, Kolkata-700108 (India)

In the present paper, the nonlinear interaction between Langmuir waves and ion acoustic waves described by the one-dimensional Zakharov equations (ZEs) for relativistic plasmas are investigated formulating a low dimensional model. Equilibrium points of the model are found and it is shown that the existence and stability conditions of the equilibrium point depend on the relativistic parameter. Computational investigations are carried out to examine the effects of relativistic parameter and other plasma parameters on the dynamics of the model. Power spectrum analysis using fast fourier transform and also construction of first return map confirm that periodic, quasi-periodic, and chaotic type solution exist for both relativistic as well as in non-relativistic case. Existence of supercritical Hopf bifurcation is noted in the system for two critical plasmon numbers.

• OSTI ID: 22218606
• Journal Information: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 5 Vol. 20; ISSN PHPAEN; ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
CHAOS THEORY
DIFFERENTIAL EQUATIONS
EQUILIBRIUM
FOURIER TRANSFORMATION
ION ACOUSTIC WAVES
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
NONLINEAR PROBLEMS
ONE-DIMENSIONAL CALCULATIONS
PERIODICITY
PLASMONS
RELATIVISTIC PLASMA
SOUND WAVES