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Initial-boundary value problems for integrable evolution equations with 3×3 Lax pairs

Physica. D, 2012-04, Vol.241 (8), p.857-875

Lenells, Jonatan

2012

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The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2016-11, Vol.472 (2195), p.20160588-20160588

Tian, Shou-Fu

2016

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Applying an iterative method numerically to solve n × n matrix Wiener-Hopf equations with exponential factors

Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, 2020-01, Vol.378 (2162), p.20190241-20190241

2020

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Multi-bright-dark soliton solutions to the AB system in nonlinear optics

Communications in theoretical physics, 2022-04, Vol.74 (4), p.45003

2022

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Integrable nonlocal derivative nonlinear Schrödinger equations

Inverse problems, 2022-06, Vol.38 (6), p.65003

2022

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N-Soliton Solutions for the NLS-Like Equation and Perturbation Theory Based on the Riemann–Hilbert Problem

Symmetry (Basel), 2019-06, Vol.11 (6), p.826

2019

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Nonlinear Riemann-Hilbert problems for quasilinear -equations on the unit disc

Complex variables and elliptic equations, 2018-02, Vol.63 (2), p.278-291

Cerne, Miran

2018

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The unified transformation approach to higher-order Gerdjikov-Ivanov model and Riemann-Hilbert problem

Journal of mathematical analysis and applications, 2024-07, p.128681, Article 128681

2024

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Long-time asymptotics of solution to the coupled Hirota system with 4 × 4 Lax pair

Journal of geometry and physics, 2023-09, Vol.191, p.104912, Article 104912

Liu, Nan

2023

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Riemann–Hilbert approach for a coherently-coupled nonlinear Schrödinger system associated with a 4 × 4 matrix spectral problem

Chaos, solitons and fractals, 2019-06, Vol.123, p.429-434

2019

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Computing Robin Problem on Unbounded Simply Connected Domain via an Integral Equation with the Generalized Neumann Kernel

Kurdistan journal of applied research (Online), 2017-08, Vol.2 (3), p.120-124

2017

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Three-Wave Interaction Equations: Classical and Nonlocal

SIAM journal on mathematical analysis, 2023-08, Vol.55 (4), p.4089-4139

2023

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l2-Sobolev space bijectivity of the scattering-inverse scattering transforms related to defocusing Ablowitz–Ladik systems

Physica. D, 2023-01, Vol.443, Article 133565

2023

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Generalized Riemann Problems in Computational Fluid Dynamics

1, 2003

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Riemann–Hilbert problem for a (3+1)-dimensional nonlinear evolution equation

Wave motion, 2024-07, p.103387, Article 103387

2024

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Asymptotics of non-intersecting Brownian motions and a 4 × 4 Riemann–Hilbert problem

Journal of approximation theory, 2008-08, Vol.153 (2), p.225-256

2008

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Inverse scattering for the derivative nonlinear Schrödinger equation with nonzero boundary conditions and triple poles

Applied mathematics letters, 2023-02, Vol.136, p.108474, Article 108474

2023

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Riemann–Hilbert problem and N-soliton solutions for the n-component derivative nonlinear Schrödinger equations

Communications in nonlinear science & numerical simulation, 2023-06, Vol.120, p.107147, Article 107147

2023

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A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

Symmetry, integrability and geometry, methods and applications, 2020-10

2020

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On a class of q -orthogonal polynomials and the q -Riemann–Hilbert problem

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2021-10, Vol.477 (2254)

2021

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A hyperkähler geometry associated to the BPS structure of the resolved conifold

Journal of geometry and physics, 2022-10, Vol.180, p.104618, Article 104618

2022

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Finite-Genus Solutions-based Optical Communication with the Riemann-Hilbert Problem Transmitter and a Convolutional Neural Network Receiver

Journal of lightwave technology, 2024, p.1-8

2024

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A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization

Journal of mathematical analysis and applications, 2021-08, Vol.500 (2), p.125109, Article 125109

2021

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A new approach to integrable evolution equations on the circle

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2021, Vol.477 (2245), p.20200605-20200605

2021

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The unified transform method for the Sasa-Satsuma equation on the half-line

Proceedings of the Royal Society. A, Mathematical, physical, and engineering sciences, 2013-11, Vol.469 (2159), p.20130068-20130068

2013

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Initial-boundary value problems for integrable evolution equations with 3×3 Lax pairs

The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method

Applying an iterative method numerically to solve n × n matrix Wiener-Hopf equations with exponential factors

Multi-bright-dark soliton solutions to the AB system in nonlinear optics

Integrable nonlocal derivative nonlinear Schrödinger equations

N-Soliton Solutions for the NLS-Like Equation and Perturbation Theory Based on the Riemann–Hilbert Problem

Nonlinear Riemann-Hilbert problems for quasilinear -equations on the unit disc

The unified transformation approach to higher-order Gerdjikov-Ivanov model and Riemann-Hilbert problem

Long-time asymptotics of solution to the coupled Hirota system with 4 × 4 Lax pair

Riemann–Hilbert approach for a coherently-coupled nonlinear Schrödinger system associated with a 4 × 4 matrix spectral problem

Computing Robin Problem on Unbounded Simply Connected Domain via an Integral Equation with the Generalized Neumann Kernel

Three-Wave Interaction Equations: Classical and Nonlocal

l2-Sobolev space bijectivity of the scattering-inverse scattering transforms related to defocusing Ablowitz–Ladik systems

Generalized Riemann Problems in Computational Fluid Dynamics

Riemann–Hilbert problem for a (3+1)-dimensional nonlinear evolution equation

Asymptotics of non-intersecting Brownian motions and a 4 × 4 Riemann–Hilbert problem

Inverse scattering for the derivative nonlinear Schrödinger equation with nonzero boundary conditions and triple poles

Riemann–Hilbert problem and N-soliton solutions for the n-component derivative nonlinear Schrödinger equations

A Riemann-Hilbert Approach to Asymptotic Analysis of Toeplitz+Hankel Determinants

On a class of q -orthogonal polynomials and the q -Riemann–Hilbert problem

A hyperkähler geometry associated to the BPS structure of the resolved conifold

Finite-Genus Solutions-based Optical Communication with the Riemann-Hilbert Problem Transmitter and a Convolutional Neural Network Receiver

A Riemann-Hilbert approach to the Kundu-nonlinear Schrödinger equation and its multi-component generalization

A new approach to integrable evolution equations on the circle

The unified transform method for the Sasa-Satsuma equation on the half-line

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