On Solutions of an Extended Nonlocal Nonlinear Schrodinger Equation in Plasmas

被引：3

作者：

Huang, Yehui ^{[1
,2
]}

Jing, Hongqing ^{[1
]}

Li, Min ^{[1
]}

Ye, Zhenjun ^{[1
]}

Yao, Yuqin ^{[3
]}

机构：

[1] North China Elect Power Univ, Sch Math & Phys, Beijing 100083, Peoples R China

[2] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA

[3] China Agr Univ, Dept Appl Math, Beijing 100083, Peoples R China

来源：

MATHEMATICS | 2020年 / 8卷 / 07期

基金：

中国国家自然科学基金; 北京市自然科学基金;

关键词：

parity-time symmetric; generalized Darboux transformation; soliton solution; rational solution; SELF-CONSISTENT SOURCES; CAMASSA-HOLM EQUATION; ROGUE WAVE; BREATHER;

D O I：

10.3390/math8071099

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The parity-time symmetric nonlocal nonlinear Schrodinger 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.

引用

页数：15

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