4.5 Article

On Nth-order rogue wave solution to the generalized nonlinear Schrodinger equation

Journal

PHYSICS LETTERS A
Volume 377, Issue 12, Pages 855-859

Publisher

ELSEVIER
DOI: 10.1016/j.physleta.2013.01.044

Keywords

Rogue wave solution; Generalized nonlinear Schrodinger equation; Generalized Darboux transformation

Funding

  1. Natural Science Foundation of China [11261037]
  2. High Education Science Research Program of China [211034]
  3. Caoyuan Yingcai Program
  4. 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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