On rogue wave in the Kundu-DNLS equation

DOI10.1016/j.cnsns.2013.05.006zbMath1344.35139arXiv1305.1858OpenAlexW1990642169MaRDI QIDQ312828

Shibao Shan, Chuanzhong Li, Jing-Song He

Publication date: 9 September 2016

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1858

zbMATH Keywords

soliton solutionsDarboux transformationbreather solutionrogue wavesKundu-DNLS equationpositon solution

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (8)

Several exact solutions of the reduced fourth-order flow equation of the Kaup-Newell system ⋮ Nonautonomous superposed Akhmediev breather in water waves ⋮ N-fold Darboux Transformation for Integrable Couplings of AKNS Equations ⋮ Higher-order mixed solution and breather solution on a periodic background for the Kundu equation ⋮ Nonautonomous solitons, breathers and rogue waves for the Gross-Pitaevskii equation in the Bose-Einstein condensate ⋮ Lump and interaction solutions to the \((2+1)\)-dimensional Burgers equation ⋮ Superposed Akhmediev breather of the \({(3+1)}\)-dimensional generalized nonlinear Schrödinger equation with external potentials ⋮ Darboux transformation of a new generalized nonlinear Schrödinger equation: soliton solutions, breather solutions, and rogue wave solutions

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