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On Solutions of an Extended Nonlocal Nonlinear Schrödinger Equation in Plasmas

Author

Listed:
  • Yehui Huang

    (School of Mathematics and Physics, North China Electric Power University, Beijing 100083, China
    Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA)

  • Hongqing Jing

    (School of Mathematics and Physics, North China Electric Power University, Beijing 100083, China)

  • Min Li

    (School of Mathematics and Physics, North China Electric Power University, Beijing 100083, China)

  • Zhenjun Ye

    (School of Mathematics and Physics, North China Electric Power University, Beijing 100083, China)

  • Yuqin Yao

    (Department of Applied Mathematics, China Agricultural University, Beijing 100083, China)

Abstract

The parity-time symmetric nonlocal nonlinear Schrödinger equation with self-consistent sources (PTNNLSESCS) is used to describe the interaction between an high-frequency electrostatic wave and an ion-acoustic wave in plasmas. In this paper, the soliton solutions, rational soliton solutions and rogue wave solutions are derived for the PTNNLSESCS via the generalized Darboux transformation. We find that the soliton solutions can exhibit the elastic interactions of different type of solutions such as antidark-antidark, dark-antidark, and dark-dark soliton pairs on a continuous wave background. Also, we discuss the degenerate case in which only one antidark or dark soliton remains. The rogue wave solution is derived in some specially chosen situations.

Suggested Citation

  • Yehui Huang & Hongqing Jing & Min Li & Zhenjun Ye & Yuqin Yao, 2020. "On Solutions of an Extended Nonlocal Nonlinear Schrödinger Equation in Plasmas," Mathematics, MDPI, vol. 8(7), pages 1-15, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1099-:d:380527
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