Multi-rogue waves for a higher-order nonlinear Schrödinger equation in optical fibers

DOI10.1016/j.amc.2013.05.031zbMath1329.35295OpenAlexW1993338181MaRDI QIDQ902489

Fa-Jun Yu

Publication date: 18 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.05.031

zbMATH Keywords

nonlinear Schrödinger equationsimilarity transformationrational solutionrogue waveHirota equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (8)

Infinite generation of soliton-like solutions for complex nonlinear evolution differential equations via the NLSE-based constructive method ⋮ On the extension of solutions of the real to complex KdV equation and a mechanism for the construction of rogue waves ⋮ Nonautonomous soliton, controllable interaction and numerical simulation for generalized coupled cubic-quintic nonlinear Schrödinger equations ⋮ On the breathers and rogue waves to a (2+1)-dimensional nonlinear Schrödinger equation with variable coefficients ⋮ Coupled cubic-quintic nonlinear Schrödinger equation: novel bright-dark rogue waves and dynamics ⋮ Comparative study of rogue wave solutions for autonomous and non-autonomous saturable discrete nonlinear Schrödinger equation ⋮ Rogue-pair and dark-bright-rogue waves of the coupled nonlinear Schrödinger equations from inhomogeneous femtosecond optical fibers ⋮ Dynamics of the higher-order rogue waves for a generalized mixed nonlinear Schrödinger model

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• Can bottom friction suppress ‘freak wave’ formation?
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