On Solutions of an Extended Nonlocal Nonlinear Schrödinger Equation in Plasmas

Yehui Huang, Hongqing Jing, Min Li, Zhenjun Ye, Yuqin Yao
2020 Mathematics  
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
more » ... s 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.
doi:10.3390/math8071099 fatcat:ythdnmkf7rhepe5bmoffhk2of4