Multi-soliton solutions for a higher-order coupled nonlinear Schrödinger system in an optical fiber via Riemann-Hilbert approach
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Publication:6174298
DOI10.1007/s11071-020-06166-5zbMath1517.35204OpenAlexW3122956803MaRDI QIDQ6174298
Publication date: 16 August 2023
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-020-06166-5
spectral analysissoliton solutionsbreathersRiemann-Hilbert approachhigher-order coupled nonlinear Schrödinger system
NLS equations (nonlinear Schrödinger equations) (35Q55) Antennas, waveguides in optics and electromagnetic theory (78A50) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)
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Accurate coiflet wavelet solution of extended \((2+1)\)-dimensional Kadomtsev-Petviashvili equation using the novel wavelet-homotopy analysis approach ⋮ Riemann-Hilbert approach and \(N\)-soliton solutions for a higher-order coupled nonlinear Schrödinger system ⋮ Riemann-Hilbert approach for the Kundu equation with non-vanishing boundary conditions: simple and double poles
Cites Work
- Unnamed Item
- Unnamed Item
- A Riemann-Hilbert approach to the Harry-Dym equation on the line
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- Riemann-Hilbert problems of a six-component fourth-order AKNS system and its soliton solutions
- Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
- Long-time asymptotics of the focusing Kundu-Eckhaus equation with nonzero boundary conditions
- Inverse scattering solutions and dynamics for a nonlocal nonlinear Gross-Pitaevskii equation with PT-symmetric external potentials
- Dynamics of abundant solutions to the \((3 + 1)\)-dimensional generalized yu-Toda-Sasa-Fukuyama equation
- Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation
- Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions
- High-order lumps, high-order breathers and hybrid solutions for an extended \((3+1)\)-dimensional Jimbo-Miwa equation in fluid dynamics
- Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system
- Localized waves for the mixed coupled Hirota equations in an optical fiber
- Lie symmetry reductions and group invariant solutions of \((2+1)\)-dimensional modified Veronese web equation
- New integrable Boussinesq equations of distinct dimensions with diverse variety of soliton solutions
- Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line
- Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons
- A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- The unified transform method for the Sasa–Satsuma equation on the half-line
- Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
- The unified method: I. Nonlinearizable problems on the half-line
- The unified method: II. NLS on the half-line witht-periodic boundary conditions
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
- A Fokas approach to the coupled modified nonlinear Schrödinger equation on the half‐line
- Vector semirational rogue waves and modulation instability for the coupled higher-order nonlinear Schrödinger equations in the birefringent optical fibers
- An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line
- Vector semirational rogue waves for the coupled nonlinear Schrödinger equations with the higher-order effects in the elliptically birefringent optical fiber
- The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures
- Integrable properties of the general coupled nonlinear Schrödinger equations
- Bidirectional solitons and interaction solutions for a new integrable fifth-order nonlinear equation with temporal and spatial dispersion
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