Solitons and chaos of the Klein-Gordon-Zakharov system in a high-frequency plasma
Zhen, Hui-Ling1,2; Tian, Bo1,2; Sun, Ya1,2; Chai, Jun1,2; Wen, Xiao-Yong3,4
Source PublicationPHYSICS OF PLASMAS
AbstractIn this paper, we study the Klein-Gordon-Zakharov (KGZ) system, which describes the interaction between the Langmuir wave and ion sound wave in a high-frequency plasma. By means of the Hirota method and symbolic computation, bright and mixed-type soliton solutions are obtained. For the one soliton, amplitude of E is positively related to beta(2), and that of n is inversely related to beta(2), while they are both positively related to alpha, where E refers to the high-frequency part of the electrostatic potential of the electric field raised by the electrons, and n represents the deviation of ion density from its equilibrium, beta(2) and a are the plasma frequency and ion sound speed, respectively. Head-on interactions between the two bright solitons and two mixed-type ones are respectively displayed. With beta(2) increasing, the head-on interaction is transformed into an overtaking one. Bright bound-state solitons are investigated, and the interaction period decreases with alpha increasing. Furthermore, with the external forces Gamma(1)(t) and Gamma(2)(t) introduced, the perturbed KGZ system is studied numerically for its associated chaotic motions. Both the weak and developed chaotic motions can be observed. Gamma(1)(t) and Gamma(2)(t) have different effects on the chaotic motions: the chaotic motion can be weakened by decreasing the amplitude of Gamma(1)(t) or increasing the amplitude and frequency of Gamma(2)(t). (C) 2015 AIP Publishing LLC.
Funding ProjectNational Natural Science Foundation of China[11272023] ; National Natural Science Foundation of China[11471050] ; 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] ; Fundamental Research Funds for the Central Universities[2015RC19] ; Beijing Natural Science Foundation[1153004] ; China Postdoctoral Science Foundation[2015M570161]
WOS Research AreaPhysics
WOS SubjectPhysics, Fluids & Plasmas
WOS IDWOS:000364403600037
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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 Mech, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhen, Hui-Ling,Tian, Bo,Sun, Ya,et al. Solitons and chaos of the Klein-Gordon-Zakharov system in a high-frequency plasma[J]. PHYSICS OF PLASMAS,2015,22(10):9.
APA Zhen, Hui-Ling,Tian, Bo,Sun, Ya,Chai, Jun,&Wen, Xiao-Yong.(2015).Solitons and chaos of the Klein-Gordon-Zakharov system in a high-frequency plasma.PHYSICS OF PLASMAS,22(10),9.
MLA Zhen, Hui-Ling,et al."Solitons and chaos of the Klein-Gordon-Zakharov system in a high-frequency plasma".PHYSICS OF PLASMAS 22.10(2015):9.
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