Characteristics of coexisting rogue wave and breather in vector nonlinear Schrödinger system

DOI10.1016/j.aml.2022.108461zbMath1504.35486OpenAlexW4301368817MaRDI QIDQ2106095

Da-Wei Zuo, Zhi-Fang Guo, Hui-Xian Jia, Xiu-Shu Tian

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108461

zbMATH Keywords

rogue wavebreathervector nonlinear Schrödinger system

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations in context of PDEs (35B20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Soliton solutions (35C08)

Related Items (2)

Jacobian-elliptic-function and rogue-periodic-wave solutions of a fifth-order nonlinear Schrödinger equation in an optical fiber ⋮ Solitons, breathers and modulation instability for a higher-order coupled nonlinear Schrödinger system for the ultrashort optical pulses in a nonlinear medium

Cites Work

• What makes the Peregrine soliton so special as a prototype of freak waves?
• Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
• The complete classification of solutions to the Riemann problem of the defocusing complex modified KdV equation
• Water waves, nonlinear Schrödinger equations and their solutions
• Breathers and solitons of generalized nonlinear Schrödinger equations as degenerations of algebro-geometric solutions
• Integrable properties of the general coupled nonlinear Schrödinger equations

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