4.7 Article

Breathers and multi-soliton solutions for the higher-order generalized nonlinear Schrodinger equation

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ELSEVIER
DOI: 10.1016/j.cnsns.2013.01.019

Keywords

The higher-order generalized nonlinear Schrodinger equation; Darboux transformation; Breather; Soliton solution; Bound soliton

Funding

  1. National Natural Science Foundation of China [61250011, 11172194]

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In this paper, the higher-order generalized nonlinear Schrdinger equation, which describes the propagation of ultrashort optical pulse in optical fibers, is analytically investigated. By virtue of the Darboux transformation constructed in this paper, some exact soliton solutions on the continuous wave (cw) background are generated. The following propagation characteristics of those solitons are mainly discussed: (1) Propagation of two types of breathers which delineate modulation instability and bright pulse propagation on a cw background respectively; (2) Two types propagation characteristics of two-solitons: elastic interactions and mutual attractions and repulsions bound solitons. Those results might be useful in the study of ultrashort optical solitons in optical fibers. Crown Copyright (C) 2013 Published by Elsevier B.V. All rights reserved.

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