Rogue wave solutions for a higher-order nonlinear Schrödinger equation in an optical fiber

DOI10.1016/j.aml.2020.106382zbMath1442.35424OpenAlexW3016339942MaRDI QIDQ2186722

Zhong-Zhou Lan

Publication date: 9 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106382

zbMATH Keywords

rogue wavesgeneralized Darboux transformationhigher-order variable-coefficient nonlinear Schrödinger equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (6)

Darboux transformation, soliton solutions of the variable coefficient nonlocal modified Korteweg-de Vries equation ⋮ Nonlinear dynamics for different nonautonomous wave structures solutions of a (4+1)-dimensional variable-coefficient Kadomtsev-Petviashvili equation in fluid mechanics ⋮ Multiple rogue wave, breather wave and interaction solutions of a generalized \((3 + 1)\)-dimensional variable-coefficient nonlinear wave equation ⋮ Dark soliton solutions for a coupled nonlinear Schrödinger system ⋮ Two synthetical five-component nonlinear integrable systems: Darboux transformations and applications ⋮ A high-precision numerical approach to solving space fractional Gray-Scott model

Cites Work

• Exact solutions of the nonlocal Hirota equations
• General propagation lattice Boltzmann model for a variable-coefficient compound KdV-Burgers equation
• Solitary and rogue waves with controllable backgrounds for the non-autonomous generalized \(AB\) system
• Dark-bright semi-rational solitons and breathers for a higher-order coupled nonlinear Schrödinger system in an optical fiber
• Soliton and breather solutions for a fifth-order variable-coefficient nonlinear Schrödinger equation in an optical fiber
• Interactions of solitons for a generalized nonlinear Schrödinger equation from the inhomogeneous Heisenberg ferromagnetic spin system
• Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation

This page was built for publication: Rogue wave solutions for a higher-order nonlinear Schrödinger equation in an optical fiber