Riemann-Hilbert Approach and Soliton Solutions of the Higher-Order Dispersive Nonlinear Schrödinger Equations with Single and Double Poles

DOI10.4208/EAJAM.240920.291120zbMath1479.35211OpenAlexW3132645780WikidataQ114021212 ScholiaQ114021212MaRDI QIDQ5014267

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Publication date: 1 December 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.240920.291120

zbMATH Keywords

Riemann-Hilbert approachdirect scattering problemhigher-order dispersive nonlinear Schrödinger equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items (2)

Inverse scattering and soliton solutions of high-order matrix nonlinear Schrödinger equation ⋮ Inverse Scattering Method for Constructing Multisoliton Solutions of Higher-Order Nonlinear Schrödinger Equations

Cites Work

• Solitary wave solutions for high dispersive cubic-quintic nonlinear Schrödinger equation
• A family of completely integrable multi-Hamiltonian systems explicitly related to some celebrated equations
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• The inverse scattering transform for the focusing nonlinear Schrödinger equation with asymmetric boundary conditions
• Integrability of Nonlinear Hamiltonian Systems by Inverse Scattering Method
• Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
• Schrödinger ordinary solitons and chirped solitons: fourth-order dispersive effects and cubic-quintic nonlinearity

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