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Nonlinear waves behaviors for a coupled generalized nonlinear Schrödinger–Boussinesq system in a homogeneous magnetized plasma

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Abstract

Under investigation in this paper is a coupled generalized nonlinear Schrödinger–Boussinesq system, which describes the coupled upper-hybrid and magnetoacoustic modes in a homogeneous magnetized plasma for the bidirectional propagation near the magnetoacoustic speed. Based on the Hirota method, the expressions for the multi-soliton solutions are given. Effects of the group velocity, group dispersion coefficient for the upper-hybrid, and the properties of the magnetic field on the soliton are discussed. Based on the asymptotic analysis, interaction between two solitons is proved to be elastic through the asymptotic analysis. Position at which the maximal distortion occurs is obtained. Multi-soliton interaction is illustrated and investigated. Two prerequisites of the formation and features of the bound state are discussed. For the cases of three solitons, inelastic interaction occurs with phase shifts. Characteristics of the breather and its relation with the bound state and the breather are investigated. Interaction between the bound state (even the breather) and a single soliton is discussed for both cases that they are parallel or not.

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Data availability statement

The data used to support the findings of this study are available from the corresponding author upon request.

Notes

  1. A single soliton composed of two separated solitons via the interaction.

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Acknowledgements

We express our sincere thanks to all the members of our discussion group for their valuable comments. This work has been supported by the Science Research Project of Higher Education in Inner Mongolia Autonomous Region under Grant No. NJZZ18117, by the Natural Science Foundation of Inner Mongolia Autonomous Region under Grant No. 2018BS01004, by the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region under Grant No. NJYT-19-B21, and by the China Postdoctoral Science Foundation under Grant Nos. 2018M640094 and 2019T120070.

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Authors and Affiliations

  1. School of Computer Information Management, Inner Mongolia University of Finance and Economics, Hohhot, 010070, China

    Zhong-Zhou Lan

  2. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, China

    Zhong-Zhou Lan & Bo-Ling Guo

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  1. Zhong-Zhou Lan
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Correspondence to Zhong-Zhou Lan.

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Lan, ZZ., Guo, BL. Nonlinear waves behaviors for a coupled generalized nonlinear Schrödinger–Boussinesq system in a homogeneous magnetized plasma. Nonlinear Dyn 100, 3771–3784 (2020). https://doi.org/10.1007/s11071-020-05716-1

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