Variable-coefficient unstable nonlinear Schrodinger equation modeling electron beam plasma: Auto-Backlund transformation, soliton-typed and other analytical solutions

被引：27
|
作者：
Gao, YT [1 ]
Tian, B
机构：
[1] Beijing Univ Aeronaut & Astronaut, Dept Appl Math, Beijing 100083, Peoples R China
[2] CCAST, World Lab, Beijing 100080, Peoples R China
[3] Beijing Univ Aeronaut & Astronaut, Dept Appl Phys, Beijing 100083, Peoples R China
来源：
PHYSICS OF PLASMAS | 2001年 / 8卷 / 01期
关键词：
D O I：
10.1063/1.1324656
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
The variable-coefficient unstable nonlinear Schrodinger equation describes the-nonlinear modulation of the high-frequency mode in the electron beam plasma, with a nonuniform background. In this paper, an auto-Backlund transformation and several families of the exact analytical solutions to;the variable-coefficient unstable nonlinear Schrodinger equation are presented. One family turns out to be soliton-typed. (C) 2001 American Institute of Physics. [DOI: 10.1063/1.1324656].
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页码：67 / 73
页数：7
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