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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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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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On the global well-posedness for the Fokas-Lenells equation on the line

Journal of Differential Equations, 2025-01, Vol.414, p.34-93

2025

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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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Multi-geometric discrete spectral problem with several pairs of zeros for Sasa–Satsuma equation

Applied mathematics letters, 2025-02, Vol.160, p.109307, Article 109307

Chen, Su-Su

2025

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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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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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The Sasa–Satsuma equation with high-order discrete spectra in space-time solitonic regions: soliton resolution via the mixed ∂¯ -Riemann–Hilbert problem

Communications in theoretical physics, 2024-06, Vol.76 (6), p.65002

2024

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The focusing complex mKdV equation with nonzero background: Large N-order asymptotics of multi-rational solitons and related Painlevé-III hierarchy

Journal of Differential Equations, 2025-01, Vol.415, p.303-364

2025

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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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Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)

Nonlinearity, 2024-07, Vol.37 (7), p.79501

2024

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Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations

Lietuvos matematikos rinkinys, 2023-09, Vol.46, p.58-63

Paliokas, Eugenijus

2023

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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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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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Multiple Pole Solutions of the Hirota Equation Under Nonzero Boundary Conditions by Inverse Scattering Method

East Asian journal on applied mathematics, 2024-06, Vol.14 (2), p.260-280

2024

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Asymptotics of step-like solutions for the Camassa–Holm equation

Journal of Differential Equations, 2016-12, Vol.261 (11), p.6055-6098

Minakov, Alexander

2016

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The Derivative Nonlinear Schrödinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms and N-Double-Pole Solutions

Journal of nonlinear science, 2020-12, Vol.30 (6), p.3089-3127

2020

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Riemann–Hilbert Problem for Multiply Connected Domains

Current Trends in Analysis and Its Applications, p.33-40

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

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

On the global well-posedness for the Fokas-Lenells equation on the line

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

Multi-geometric discrete spectral problem with several pairs of zeros for Sasa–Satsuma equation

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

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

The Sasa–Satsuma equation with high-order discrete spectra in space-time solitonic regions: soliton resolution via the mixed ∂¯ -Riemann–Hilbert problem

The focusing complex mKdV equation with nonzero background: Large N-order asymptotics of multi-rational solitons and related Painlevé-III hierarchy

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

Corrigendum: A semi-periodic initial-value problem for the Kadomtsev–Petviashvili II equation (2023 Nonlinearity 36 5422)

Riemann–Hilbert boundary value problem for multidimensional elliptic systems of equations

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

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

Multiple Pole Solutions of the Hirota Equation Under Nonzero Boundary Conditions by Inverse Scattering Method

Asymptotics of step-like solutions for the Camassa–Holm equation

The Derivative Nonlinear Schrödinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms and N-Double-Pole Solutions

Riemann–Hilbert Problem for Multiply Connected Domains

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