Riemann-Hilbert Approach and N-Soliton Solutions For Three-Component Coupled Hirota Equations

DOI10.4208/EAJAM.170120.080420zbMath1464.35332arXiv1911.02885OpenAlexW3049380668MaRDI QIDQ4986624

Shou-Fu Tian, Xin Wu, Jin-Jie Yang

Publication date: 27 April 2021

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

Full work available at URL: https://arxiv.org/abs/1911.02885

zbMATH Keywords

\(N\)-soliton solutionRiemann-Hilbert approachthree-component coupled Hirota equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items (4)

Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles ⋮ Riemann–Hilbert problem for the Fokas–Lenells equation in the presence of high-order discrete spectrum with non-vanishing boundary conditions ⋮ Ultra-short optical pulses in a birefringent fiber via a generalized coupled Hirota system with the singular manifold and symbolic computation ⋮ The ∂̄-dressing method and soliton solutions for the three-component coupled Hirota equations

Cites Work

• The nonlinear steepest descent method to long-time asymptotics of the coupled nonlinear Schrödinger equation
• 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
• Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
• Exact envelope-soliton solutions of a nonlinear wave equation
• Dark soliton solutions of the coupled Hirota equation in nonlinear fiber

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