Solitonic and chaotic behaviors for the nonlinear dust-acoustic waves in a magnetized dusty plasma
Zhen, Hui-Ling1,2; Tian, Bo1,2; Xie, Xi-Yang1,2; Wu, Xiao-Yu1,2; Wen, Xiao-Yong3,4
Source PublicationPHYSICS OF PLASMAS
AbstractA model for the nonlinear dust-ion-acoustic waves in a two-ion-temperature, magnetized dusty plasma is studied in this paper. Via the symbolic computation, one-, two- and N-soliton solutions are obtained. It is found that when root mu(e)mu(i) < 2 T-i(2)/T-e(2) + T-i/T-e, the soliton amplitude is positively related to mu(e), mu(i), T-i, Z(d), and B-0, but inversely related to T-e and m(d), with T-e, T-i, mu(e), and mu(i) as the temperature of an electron, temperature of a positive ion, normalized initial density of electrons, and normalized initial density of positive ions, respectively, Z(d), B-0, and m(d) as the charge number of a dust particle, strength of the static magnetic field, and mass of a dust particle, respectively. It is also found that the two solitons are always parallel during the propagation on the x - y, x - t, and y - t planes, where x, y, and z are the scaled spacial coordinates, and t is the retarded time. Upon the introduction of the driving force Gamma(t), both the developed and weak chaotic motions as well as the effect of Gamma(t) are explored. Via the phase projections and power spectra, we find the difference between the two chaotic motions roots in the relative magnitude of nonlinearity and external force. Increasing the frequency of the external force or the strength of the damped term can weaken the chaotic motions of such a forced model. Published by AIP Publishing.
Funding ProjectNational Natural Science Foundation of China[11272023] ; National Natural Science Foundation of China[11471050] ; Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications) ; Fundamental Research Funds for the Central Universities of China[2011BUPTYB02] ; Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161]
WOS Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas
WOS IDWOS:000378427900026
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Document Type期刊论文
Corresponding AuthorTian, Bo
Affiliation1.Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
2.Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
3.Beijing Informat Sci & Technol Univ, Sch Appl Sci, Dept Math, Beijing 100192, Peoples R China
4.Chinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mechanizat, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhen, Hui-Ling,Tian, Bo,Xie, Xi-Yang,et al. Solitonic and chaotic behaviors for the nonlinear dust-acoustic waves in a magnetized dusty plasma[J]. PHYSICS OF PLASMAS,2016,23(5):9.
APA Zhen, Hui-Ling,Tian, Bo,Xie, Xi-Yang,Wu, Xiao-Yu,&Wen, Xiao-Yong.(2016).Solitonic and chaotic behaviors for the nonlinear dust-acoustic waves in a magnetized dusty plasma.PHYSICS OF PLASMAS,23(5),9.
MLA Zhen, Hui-Ling,et al."Solitonic and chaotic behaviors for the nonlinear dust-acoustic waves in a magnetized dusty plasma".PHYSICS OF PLASMAS 23.5(2016):9.
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