The \(\overline{\partial} \)-dressing method and Cauchy matrix for the defocusing matrix NLS system

DOI10.1016/j.aml.2021.107143zbMath1462.35370OpenAlexW3129374331MaRDI QIDQ2022287

Ye-hui Huang, En-gui Fan, Yu-Qin Yao

Publication date: 28 April 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107143

zbMATH Keywords

Lax pairsoliton solution\( \overline{\partial} \)-dressing methodmatrix NLS equation

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (3)

A Riemann-Hilbert approach in the form of a block matrix for the coupled matrix integrable system ⋮ The \(\bar{\partial}\)-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions ⋮ Integrability of the vector nonlinear Schrödinger-Maxwell-Bloch equation and the Cauchy matrix approach

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