Journal
PHYSICS LETTERS A
Volume 377, Issue 12, Pages 855-859Publisher
ELSEVIER
DOI: 10.1016/j.physleta.2013.01.044
Keywords
Rogue wave solution; Generalized nonlinear Schrodinger equation; Generalized Darboux transformation
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Funding
- Natural Science Foundation of China [11261037]
- High Education Science Research Program of China [211034]
- Caoyuan Yingcai Program
- High Education Science Research Program of Inner Mongolia Autonomous Region [NJ10045]
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In this Letter, the generalized nonlinear Schrodinger (GNLS) equation is investigated by Darboux matrix method. A generalized Darboux transformation (DT) of the GNLS equation is constructed with the help of the gauge transformation for an Ablowitz-Kaup-Newell-Segur (AKNS) type GNLS spectral problem, from which a unified formula of Nth-order rogue wave solution to the GNLS equation is given. In particular, the first and second-order rogue wave solutions to the GNLS equation are explicitly illustrated through some figures. (c) 2013 Elsevier B.V. All rights reserved.
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