Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation

DOI10.1016/j.cnsns.2020.105284zbMath1454.35358arXiv1908.04941OpenAlexW3022201764MaRDI QIDQ2208099

Yong Chen, Yunfei Yue, Lili Huang

Publication date: 23 October 2020

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

Full work available at URL: https://arxiv.org/abs/1908.04941

zbMATH Keywords

nonlinear Schrödinger equationDarboux transformationrogue wavemodulation instability

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (11)

Transition of the breather wave of six-order nonlinear Schrödinger equation ⋮ Bounded solution structure of Schrödinger equation in the presence of the minimal length and its effect: bound states in the continuum are universal ⋮ Interactional solutions of the extended nonlinear Schrödinger equation with higher-order operators ⋮ Modulation instability analysis of Rossby waves based on (2 + 1)-dimensional high-order Schrödinger equation ⋮ Generalizations of the finite nonperiodic Toda lattice and its Darboux transformation ⋮ Rogue waves, modulation instability of the \((2+1)\)-dimensional complex modified Korteweg-de Vries equation on the periodic background ⋮ Bound‐state soliton and rogue wave solutions for the sixth‐order nonlinear Schrödinger equation via inverse scattering transform method ⋮ Rogue waves of the sixth-order nonlinear Schrödinger equation on a periodic background ⋮ Unconditional uniqueness of higher order nonlinear Schrödinger equations ⋮ Asymptotic behaviour of the solutions for a weakly damped anisotropic sixth-order Schrödinger type equation in \(\mathbb{R}^2\) ⋮ The effect of coherent coupling nonlinearity on modulation instability and rogue wave excitation

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