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].

引用

页码：67 / 73

页数：7

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