Symbolic computation on the Darboux transformation for a generalized variable-coefficient higher-order nonlinear Schrodinger equation from fiber optics

被引：4
作者：
Li, Juan [1 ,2 ,3 ]
Zhang, Hai-Qiang [4 ]
机构：
[1] Chinese Acad Sci, Inst Remote Sensing Applicat, State Key Lab Remote Sensing Sci, Beijing 100101, Peoples R China
[2] Beijing Normal Univ, Beijing 100101, Peoples R China
[3] Natl Space Adm, Demonstrat Ctr Spaceborne Remote Sensing, Beijing 100101, Peoples R China
[4] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 365卷 / 02期
基金：
中国博士后科学基金;
关键词：
Soliton solutions; Darboux transformation; Higher-order nonlinear Schrodinger equation; Symbolic computation; SOLITON-LIKE SOLUTIONS; BACKLUND TRANSFORMATION; INTEGRABLE PROPERTIES; ARTERIAL MECHANICS; PULSE-PROPAGATION; GARDNER EQUATION; PLASMA PHYSICS; MODEL; DISPERSION; WAVES;
D O I：
10.1016/j.jmaa.2009.10.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Considering the propagation of ultrashort pulse in the realistic fiber optics, a generalized variable-coefficient higher-order nonlinear Schrodinger equation is investigated in this paper. Under certain constraints, a new 3 x 3 Lax pair for this equation is obtained through the Ablowitz-Kaup-Newell-Segur procedure. Furthermore, with symbolic computation, the Darboux transformation and nth-iterated potential transformation formula for such a model are explicitly derived. The corresponding features of ultrashort pulse in inhomogeneous optical fibers are graphically discussed by the one- and two-soliton-like solutions. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：517 / 524
页数：8
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