Multi-soliton interaction of a generalized Schrodinger-Boussinesq system in a magnetized plasma

被引:21
作者
Zhao, Xue-Hui
Tian, Bo [1 ]
Chai, Jun
Wu, Xiao-Yu
Guo, Yong-Jiang
机构
[1] Beijing Univ Posts & Telecommun, State Key Lab Informat Photon & Opt Commun, Beijing 100876, Peoples R China
来源
EUROPEAN PHYSICAL JOURNAL PLUS | 2017年 / 132卷 / 04期
基金
中国国家自然科学基金;
关键词
PARTIAL-DIFFERENTIAL-EQUATIONS; WEAKLY DISPERSIVE MEDIA; BACKLUND TRANSFORMATION; NONLINEAR DYNAMICS; WAVES; SOLITONS; STABILITY;
D O I
10.1140/epjp/i2017-11453-5
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Under investigation in this paper is a generalized Schrodinger-Boussinesq system, which describes the stationary propagation of coupled upper- hybrid waves and magnetoacoustic waves in a magnetized plasma. Bilinear forms, one-, two- and three-soliton solutions are derived by virtue of the Hirota method and symbolic computation. Propagation and interaction for the solitons are illustrated graphically: Coefficients beta(1) and beta(2) can affect the velocities and propagation directions of the solitary waves. Amplitude, velocity and shape of the one solitary wave keep invariant during the propagation, implying that the transport of the energy is stable in the upper-hybrid and magnetoacoustic waves, and amplitude of the upper- hybrid wave is bigger than that of the magnetoacoustic wave. For the upper- hybrid and magnetoacoustic waves, head-on, overtaking and bound-state interaction between the two solitary waves are asymptotically depicted, respectively, indicating that the interaction between the two solitary waves is elastic. Elastic interaction between the bound- state soliton and a single one soliton is also displayed, and interaction among the three solitary waves is all elastic.
引用
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页数:9
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