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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:365

Article

Li, Juan^1,2,3  Zhang, Hai-Qiang⁴ 

[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

关键词: Soliton solutions;    Darboux transformation;    Higher-order nonlinear Schrodinger equation;    Symbolic computation;   

DOI  :  10.1016/j.jmaa.2009.10.071

来源: Elsevier

【 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.

【 授权许可】

Free