Modulational instability and higher-order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers

DOI10.1186/s13662-016-1026-9zbMath1419.35183OpenAlexW2557947452WikidataQ59467772 ScholiaQ59467772MaRDI QIDQ1628333

Xiao-Yong Wen

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-1026-9

zbMATH Keywords

symbolic computationmodulational instabilitygeneralized \((n, N-n)\)-fold Darboux transformation (DT)integrable generalization of the nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Soliton, breather, lump and their interaction solutions of the \((2+1)\)-dimensional asymmetrical Nizhnik-Novikov-Veselov equation

Cites Work

• Rogue wave solutions of the \((2+1)\)-dimensional derivative nonlinear Schrödinger equation
• Nonautonomous soliton, controllable interaction and numerical simulation for generalized coupled cubic-quintic nonlinear Schrödinger equations
• On a class of physically important integrable equations
• The general mixed nonlinear Schrödinger equation: Darboux transformation, rogue wave solutions, and modulation instability
• Darboux transformation of the general Hirota equation: multisoliton solutions, breather solutions, and rogue wave solutions
• Multi-rogue waves and rational solutions of the coupled nonlinear Schrödinger equations
• Darboux transformation for an integrable generalization of the nonlinear Schrödinger equation
• \(N\)-fold Darboux transformation and solitonic interactions for a Volterra lattice system
• Nonautonomous rogue waves and `catch' dynamics for the combined Hirota-LPD equation with variable coefficients
• \(N\)-fold Darboux transformation and explicit solutions in terms of the determinant for the three-field Blaszak-Marciniak lattice
• Breathers and multi-soliton solutions for the higher-order generalized nonlinear Schrödinger equation
• Darboux Transformation and Soliton Solutions for Generalized Nonlinear Schrödinger Equations
• Modulational instability and higher-order rogue waves with parameters modulation in a coupled integrable AB system via the generalized Darboux transformation
• On a novel integrable generalization of the nonlinear Schrödinger equation

This page was built for publication: Modulational instability and higher-order rogue wave solutions for an integrable generalization of the nonlinear Schrödinger equation in monomode optical fibers