Complex nonlinearities of rogue waves in generalized inhomogeneous higher-order nonlinear Schrödinger equation

DOI10.1007/s11071-015-2170-6zbMath1348.35244OpenAlexW613733101MaRDI QIDQ327497

Mohammad Hasan, M. Dambrine

Publication date: 19 October 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-015-2170-6

zbMATH Keywords

Darboux transformationhigher-order nonlinear Schrödinger equationrogue wavecomplex nonlinearities

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (6)

Control and management of the combined Peregrine soliton and Akhmediev breathers in \({\mathcal{PT}}\)-symmetric coupled waveguides ⋮ Rogue wave solutions and generalized Darboux transformation for an inhomogeneous fifth-order nonlinear Schrödinger equation ⋮ Darboux transformation of the coupled nonisospectral Gross-Pitaevskii system and its multi-component generalization ⋮ Broken and unbroken solutions and dynamic behaviors for the mixed local-nonlocal Schrödinger equation ⋮ Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons ⋮ Mixed Local-Nonlocal Vector Schrödinger Equations and Their Breather Solutions

Cites Work

• Unnamed Item
• Unnamed Item
• On \(N\)th-order rogue wave solution to the generalized nonlinear Schrödinger equation
• Superposed Akhmediev breather of the \({(3+1)}\)-dimensional generalized nonlinear Schrödinger equation with external potentials
• Waves that appear from nowhere and disappear without a trace
• Generalized inhomogeneous Heisenberg ferromagnet model and generalized nonlinear Schrödinger equation
• Conservation laws for classes of nonlinear evolution equations solvable by the spectral transform
• Physical mechanisms of the rogue wave phenomenon.
• Painlevé-integrability and explicit solutions of the general two-coupled nonlinear Schrödinger system in the optical fiber communications
• Nonautonomous bright soliton solutions on continuous wave and cnoidal wave backgrounds in blood vessels
• Water waves, nonlinear Schrödinger equations and their solutions
• Nonlinear wave and soliton propagation in media with arbitrary inhomogeneities
• Generalized Darboux transformation and rogue wave solutions for the higher-order dispersive nonlinear Schrödinger equation

This page was built for publication: Complex nonlinearities of rogue waves in generalized inhomogeneous higher-order nonlinear Schrödinger equation