Degeneracy in bright-dark solitons of the derivative nonlinear Schrödinger equation

DOI10.1016/j.aml.2018.07.021zbMath1410.35217OpenAlexW2884456224MaRDI QIDQ1726494

Lihong Wang, Shuwei Xu, R. Erdélyi, Jing-Song He

Publication date: 20 February 2019

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

Full work available at URL: https://doi.org/10.1016/j.aml.2018.07.021

zbMATH Keywords

derivative nonlinear Schrödinger equationDarboux transformationrogue wavesbright-dark solitons degenerationquasi-rational solutions

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (4)

The rogue wave type solutions from multiple solitons interactions in the rotating reduced Maxwell-Bloch equations ⋮ Компактные разностные схемы для аппроксимации дифференциальных соотношений ⋮ Quintic time-dependent-coefficient derivative nonlinear Schrödinger equation in hydrodynamics or fiber optics: bilinear forms and dark/anti-dark/gray solitons ⋮ Rogue waves generation through multiphase solutions degeneration for the derivative nonlinear Schrödinger equation

Cites Work

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• Generation of short-lived large-amplitude magnetohydrodynamic pulses by dispersive focusing
• Waves that appear from nowhere and disappear without a trace
• Rogue waves in the ocean
• Families of rational solutions of the \(y\)-nonlocal Davey-Stewartson II equation
• The integrability conditions and solutions of nonautonomous Hirota equation
• Rational and semi-rational solutions of the \(y\)-nonlocal Davey-Stewartson I equation
• The hierarchy of higher order solutions of the derivative nonlinear Schrödinger equation
• Exact Solutions of the Derivative Nonlinear Schrödinger Equation under the Nonvanishing Conditions
• Soliton Solutions of the Derivative Nonlinear Schrödinger Equation
• A direct method of solution for the Fokas–Lenells derivative nonlinear Schrödinger equation: I. Bright soliton solutions
• Water waves, nonlinear Schrödinger equations and their solutions
• A direct method of solution for the Fokas–Lenells derivative nonlinear Schrödinger equation: II. Dark soliton solutions
• Alfven solitons
• An exact solution for a derivative nonlinear Schrödinger equation
• Rogue waves of the nonlocal Davey–Stewartson I equation
• Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schrödinger equation
• Rational and Semirational Solutions of the Nonlocal Davey–Stewartson Equations
• Semi-rational solutions of the third-type Davey-Stewartson equation
• Rogue waves and W-shaped solitons in the multiple self-induced transparency system
• General high-order rogue waves and their dynamics in the nonlinear Schrödinger equation
• Rogue waves in multiphase solutions of the focusing nonlinear Schrödinger equation
• Multi-rogue waves solutions: from the NLS to the KP-I equation
• Peregrine solitons and algebraic soliton pairs in Kerr media considering space-time correction

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