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A lattice Boltzmann model for the ion- and electron-acoustic solitary waves in beam-plasma system

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  • Wang, Huimin

Abstract

In this paper, a lattice Boltzmann model for the ion- and electron-acoustic solitary waves in beam-plasma system is proposed. By using the Chapman–Enskog expansion and the multi-scale time expansion, a series of partial differential equations in different time scales are obtained. By selecting the appropriate moments of the equilibrium distribution functions, the macroscopic equations are recovered. In numerical examples, we simulate the propagation of the ion- and electron-acoustic solitary waves. Numerical results show that the lattice Boltzmann method is an effective tool for the study of the ion- and electron-acoustic solitary waves in plasma.

Suggested Citation

  • Wang, Huimin, 2016. "A lattice Boltzmann model for the ion- and electron-acoustic solitary waves in beam-plasma system," Applied Mathematics and Computation, Elsevier, vol. 279(C), pages 62-75.
    • Handle: RePEc:eee:apmaco:v:279:y:2016:i:c:p:62-75
    DOI: 10.1016/j.amc.2016.01.007
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    References listed on IDEAS

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    1. Zhang, Jianying & Yan, Guangwu, 2008. "Lattice Boltzmann method for one and two-dimensional Burgers equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4771-4786.
    2. Sauro Succi, 1998. "Lattice Quantum Mechanics: An Application to Bose–Einstein Condensation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 9(08), pages 1577-1585.
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    Cited by:

    1. Huimin Wang & Yanhong Liu & Xiuling Li & Hengjia Chen, 2024. "Numerical Simulation for Solitary Waves of the Generalized Zakharov Equation Based on the Lattice Boltzmann Method," Mathematics, MDPI, vol. 12(7), pages 1-14, March.

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