Large and infinite-order solitons of the coupled nonlinear Schrödinger equation

DOI10.1016/j.physd.2023.133981arXiv2103.15373MaRDI QIDQ6198229

Xiaoen Zhang, Liming Ling

Publication date: 21 February 2024

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.15373

zbMATH Keywords

Riemann-Hilbert problemasymptotic analysiscoupled nonlinear Schrödinger equationDarboux transformationhigh-order solitonsinfinite-order solitons

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08) Time-dependent Schrödinger equations and Dirac equations (35Q41)

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