Soliton solutions and Backlund transformation for the complex Ginzburg-Landau equation

被引：6

作者：

Liu, Wen-Jun ^{[1
]}

Tian, Bo ^{[1
,2
,3
]}

Jiang, Yan ^{[1
]}

Sun, Kun ^{[1
]}

Wang, Pan ^{[1
]}

Li, Min ^{[1
]}

Qu, Qi-Xing ^{[1
]}

机构：

[1] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

[2] Beijing Univ Aeronaut & Astronaut, State Key Lab Software Dev Environm, Beijing 100191, Peoples R China

[3] Beijing Univ Posts & Telecommun, Minist Educ, Key Lab Informat Photon & Opt Commun BUPT, Beijing 100876, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Complex Ginzburg-Landau equation; Hirota method; Soliton solution; Backlund transformation; Symbolic computation; NONLINEAR SCHRODINGER MODEL; VARIANT BOUSSINESQ MODEL; ION-ACOUSTIC-WAVES; DUSTY PLASMA; PROPAGATION; TRANSITION; TURBULENCE; NEBULONS; CHAOS; FORM;

D O I：

10.1016/j.amc.2010.10.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Symbolically investigated in this paper is the complex Ginzburg-Landau (CGL) equation. With the Hirota method, both bright and dark soliton solutions for the CGL equation are obtained simultaneously. New Backlund transformation in the bilinear form is derived. Relevant properties and features are discussed. Solitons can be compressed (amplified) when the nonlinear (linear) dispersion effect is enhanced. Meanwhile, central frequency of the soliton can be affected by the nonlinear and linear dispersion effects. Besides, directions of the movement for the soliton central frequency can be adjusted. Results of this paper would be of certain value to the studies on the soliton compression and amplification. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：4369 / 4376

页数：8

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