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Modulational Collapsing and Adjusting with External Potential in a Complex Nonlinear Plasma

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Abstract—

Modulational collapse of a wave pulse in a complex nonlinear plasma described by a complex nonlinear Schrödinger equation (CNSE) including the effects of viscous heating and nonlinear damping, and the adjusting by an external potential are investigated. Theoretical and numerical results reveal that the original pulse first suffers modulational instability, the growth rate of the modulational instability increases with the increase of viscous heating, but it is not sensitive to the nonlinear damping. The instability induces the self-similar collapsing, then the fields rapidly transform into a turbulent state with short-wavelength modes. The results are explained in terms of the evolution of the total energy, which can become invariant during the evolution even though the system is nonconservative. The external potential can delay the self-defocusing process of the pulse. Those results can apply to the phenomena described by the CNSE.

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ACKNOWLEDGMENTS

This work was supported by the National Natural Science Foundation of China (project nos. 11863004, 11847144, 11763006, and 11847023), the Natural Science Foundation of Jiangxi Province (project no. 20181BAB 201019), the Jiangxi Province Key Laboratory of Fusion and Information Control (project no. 20171BCD40005), and Shanghai Key Lab for Astrophysics (no. SKLA1604).

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Authors and Affiliations

  1. Department of Physics, Nanchang University, 330031, Nanchang, China

    X. S. Yang & S. Q. Liu

  2. College of Physics Science and Engineering, Yulin Normal University, 537000, Guangxi Yulin, China

    Z. H. Chen

  3. Experimental Center of Basic Physics, School of Science, Nanchang University, 330031, Nanchang, China

    B. Wang

Authors
  1. X. S. Yang
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  2. Z. H. Chen
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  3. B. Wang
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  4. S. Q. Liu
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Correspondence to X. S. Yang, Z. H. Chen, B. Wang or S. Q. Liu.

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Yang, X.S., Chen, Z.H., Wang, B. et al. Modulational Collapsing and Adjusting with External Potential in a Complex Nonlinear Plasma. Plasma Phys. Rep. 46, 815–822 (2020). https://doi.org/10.1134/S1063780X20080115

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  • DOI: https://doi.org/10.1134/S1063780X20080115

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