Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation

DOI10.1016/j.cnsns.2019.104915OpenAlexW2956298741MaRDI QIDQ2207092

Lijuan Guo, Lihong Wang, Yi. Cheng, Jing-Song He

Publication date: 22 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2019.104915

zbMATH Keywords

Darboux transformationrogue wavesmodulation instabilitytwo-component derivative nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Statistical mechanics of plasmas (82D10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (7)

Modulation instability analysis of Rossby waves based on (2 + 1)-dimensional high-order Schrödinger equation ⋮ Dynamics of the rogue lump in the asymmetric Nizhnik–Novikov–Veselov system ⋮ The coupled derivative nonlinear Schrödinger equation: conservation laws, modulation instability and semirational solutions ⋮ The partial-rogue ripple solutions of nonlocal Kadomtsev-Petviashvili equation ⋮ Solitons, breathers and rogue waves of the coupled Hirota system with \(4\times 4\) Lax pair ⋮ Riemann-Hilbert problem and \(N\)-soliton solutions for the \(n\)-component derivative nonlinear Schrödinger equations ⋮ Asymptotic dynamics of higher-order lumps in the Davey–Stewartson II equation

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