Inverse scattering transform of the general three-component nonlinear Schrödinger equation and its multisoliton solutions

DOI10.1016/j.aml.2021.107874zbMath1490.35462OpenAlexW4200407153MaRDI QIDQ2077074

Li Zou, Chenghao Zhu, Jian-Shi Zhao, Zong-Bing Yu

Publication date: 22 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107874

zbMATH Keywords

inverse scattering transformmultisoliton solutionsgeneral three-component nonlinear Schrödinger equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenvalues, singular values, and eigenvectors (15A18) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items (2)

N-soliton solutions for the coupled extended modified KdV equations via Riemann-Hilbert approach ⋮ \( \bar{\partial } \)-dressing method for a generalized \((2 + 1)\)-dimensional nonlinear wave equation

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