Exotic localized waves in the higher-order nonlinear Schrödinger equation with nonvanishing boundary conditions

DOI10.1016/j.aml.2024.109171zbMath1546.35206MaRDI QIDQ6595447

Yongmei Jiang, Xiu-Bin Wang

Publication date: 30 August 2024

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

zbMATH Keywords

dressing methodmodulation instability (MI)freak waves (FWs)higher-order nonlinear Schrödinger equation (HNLSE)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Boundary value problems for nonlinear higher-order PDEs (35G30) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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