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Title: Dynamics of the Zakharov-Kuznetsov-Burgers equations in dusty plasmas

In this paper, we investigate the Zakharov-Kuznetsov-Burgers (ZKB) equations for the dust-ion-acoustic waves in dusty plasmas. Shock-like and soliton solutions are both constructed through the introduction of an auxiliary function and variable. ZKB-soliton propagation is plotted, and from those figures, we find that energy of the solitons increases when the number of electrons in a dust particle decreases or the mass of such dust particle becomes larger. Considering the external perturbations in the dusty plasmas, we study the perturbed ZKB equation via some qualitative and quantitative methods. To corroborate that the perturbed ZKB equation can indeed give rise to the chaos, we make use of the power spectrum and Lyapunov exponents. Then, we investigate the phase projections, and find that both the weak and developed chaos can be observed. Weak chaos occur when the absolute value of damped coefficient (l{sub 1}) is stronger than the strength of perturbed term (g{sub 1}), or else, the developed one occurs. Ranges of l{sub 1} and g{sub 1} are given via the largest Lyapunov exponents when the perturbed ZKB equation is in different chaotic states. Therefore, we can find that the chaotic motion of the perturbed ZKB equation will be enhanced with the numbermore » of electrons in a dust particle or the mass of such a dust particle decreasing.« less
Authors:
; ; ; ;  [1]
  1. State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876 (China)
Publication Date:
OSTI Identifier:
22227898
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 20; Journal Issue: 8; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; CHAOS THEORY; DAMPING; DISTURBANCES; DUSTS; ELECTRONS; ION ACOUSTIC WAVES; LYAPUNOV METHOD; MATHEMATICAL SOLUTIONS; PARTIAL DIFFERENTIAL EQUATIONS; PARTICLES; SHOCK WAVES; SOLITONS