Numerical simulation on modulational instability of ion-acoustic waves in plasma

doi:10.1088/1674-1056/28/2/025201

Abstract In this paper, the one-dimensional (1D) particle-in-cell (PIC) simulation is used to study the modulation instability of ion acoustic waves in electron-ion plasmas. The ion acoustic wave is described by using a nonlinear Schrödinger equation (NLSE) derived from the reductive perturbation method. Form our numerical simulations, we are able to demonstrate that, after the modulation, the amplitude increases steadily over time. Furthermore, by comparing the numerical results with traditional analytical solutions, we acquire the application scope for the reductive perturbation method to obtain the NLSE. We also find this method can also be extended to other fields such as fluid dynamics, nonlinear optics, solid state physics, and the Bose-Einstein condensate to validate the application scope of the results from the traditional perturbation method.

Keywords: modulational instability particle-in-cell simulation the reductive perturbation method

Received: 16 October 2018
Revised: 29 November 2018
Accepted manuscript online:

PACS:	52.27.Aj	(Single-component, electron-positive-ion plasmas)
	52.35.-g	(Waves, oscillations, and instabilities in plasmas and intense beams)
	52.65.Rr	(Particle-in-cell method)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11675014).

Corresponding Authors: Wen-Shan Duan
E-mail: duanws@126.com

Cite this article:

Yi-Rong Ma(马艺荣), Lie-Juan Li(李烈娟), Wen-Shan Duan(段文山) Numerical simulation on modulational instability of ion-acoustic waves in plasma 2019 Chin. Phys. B 28 025201

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Numerical simulation on modulational instability of ion-acoustic waves in plasma

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