The Riemann-Hilbert Approach and $N$-Soliton Solutions of a Four-Component Nonlinear Schrödinger Equation

DOI10.4208/eajam.100620.170920zbMath1464.35335OpenAlexW3106757630WikidataQ114021217 ScholiaQ114021217MaRDI QIDQ4986578

Shou-Fu Tian, Xin-Mei Zhou, Jin-Jie Yang, Jin-Jin Mao

Publication date: 27 April 2021

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.100620.170920

zbMATH Keywords

\(N\)-soliton solutionsRiemann-Hilbert approachfour-component nonlinear Schrödinger equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

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Cites Work

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• Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs
• Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
• Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
• The unified method: I. Nonlinearizable problems on the half-line
• Symmetries and differential equations

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