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Riemann–Hilbert Approach and Multiple Arbitrary-Order Pole Solutions for the Lakshmanan–Porsezian–Daniel Equation with Finite Density Initial Data

Qualitative theory of dynamical systems, 2024-09, Vol.23 (4), Article 176

2024

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The nonlinear Riemann–Hilbert problems for a new general Pavlov equation

Chaos, solitons and fractals, 2024-08, Vol.185, p.115189, Article 115189

2024

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Riemann-Hilbert problem associated with an integrable generalized mixed nonlinear Schrödinger equation

Complex variables and elliptic equations, 2024-07, Vol.69 (7), p.1097-1116

2024

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Inverse Scattering Transform and Dynamics of Soliton Solutions for Nonlocal Focusing Modified Korteweg-de Vries Equation

Qualitative theory of dynamical systems, 2024-07, Vol.23 (3), Article 113

2024

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

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

2024

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Long-time asymptotics for the defocusing Ablowitz-Ladik system with initial data in lower regularity

Advances in mathematics (New York. 1965), 2024-07, Vol.450, p.109769, Article 109769

2024

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Boussinesq's equation for water waves: Asymptotics in Sector I

Advances in nonlinear analysis, 2024-06, Vol.13 (1), p.3181-3198

2024

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Riemann–Hilbert Method Equipped with Mixed Spectrum for N-Soliton Solutions of New Three-Component Coupled Time-Varying Coefficient Complex mKdV Equations

Fractal and fractional, 2024-06, Vol.8 (6), p.355

2024

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Long-time asymptotics for the integrable nonlocal Lakshmanan–Porsezian–Daniel equation with decaying initial value data

Applied mathematics letters, 2024-06, Vol.152, p.109030, Article 109030

2024

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Multi‐soliton solutions of the three‐level coupled Schrödinger Maxwell‐Bloch equations via the Riemann‐Hilbert approach

Mathematical methods in the applied sciences, 2024-05, Vol.47 (7), p.5560-5575

2024

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Asymptotic analysis of high‐order solitons of an equivalent Kundu–Eckhaus equation

Mathematical methods in the applied sciences, 2024-05

2024

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Long-time asymptotics of the Hunter-Saxton equation on the line

Journal of Differential Equations, 2024-05, Vol.390, p.451-493

2024

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On behavior analysis of solutions for the coupled higher-order WKI equation

Physica. D, 2024-05, Vol.461, p.134114, Article 134114

2024

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On the dispersionless Davey-Stewartson hierarchy: the tau function, the Riemann-Hilbert problem and the Hamilton-Jacobi theory

Physica scripta, 2024-05, Vol.99 (5), p.55243

2024

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Multi-pole solitons and breathers for a nonlocal Lakshmanan-Porsezian-Daniel equation with non-zero boundary conditions

Physica scripta, 2024-05, Vol.99 (5), p.55227

2024

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On a Class of Elliptic Orthogonal Polynomials and their Integrability

Constructive approximation, 2024-04

2024

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Nonlocal Kundu–Eckhaus equation: integrability, Riemann–Hilbert approach and Cauchy problem with step-like initial data

Letters in mathematical physics, 2024-04, Vol.114 (2), Article 55

2024

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Spectral structures and soliton dynamical behaviors of two shifted nonlocal NLS equations via a novel Riemann–Hilbert approach: A reverse-time NLS equation and a reverse-spacetime NLS equation

Chaos, solitons and fractals, 2024-04, Vol.181, p.114640, Article 114640

Wu, Jianping

2024

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On singular limits of finite Hilbert transform operators on multi‐intervals

Mathematische Nachrichten, 2024-04, Vol.297 (4), p.1328-1369

2024

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On the linearizable initial–boundary value problems for the Sasa–Satsuma equation on the half-line

Applied mathematics letters, 2024-04, Vol.150, p.108941, Article 108941

2024

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Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data

Journal of Differential Equations, 2024-03, Vol.386, p.113-163

2024

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On the Integrable Structure of Deformed Sine Kernel Determinants

Mathematical physics, analysis, and geometry, 2024-03, Vol.27 (1), Article 3

2024

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Exact multi-soliton solutions of the KdV equation with a source: Riemann–Hilbert formulation

Applied mathematics letters, 2024-03, Vol.149, p.108919, Article 108919

2024

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On the gap probability of the tacnode process

Advances in mathematics (New York. 1965), 2024-02, Vol.438, p.109474, Article 109474

2024

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Riemann–Hilbert Approach and Multiple Arbitrary-Order Pole Solutions for the Lakshmanan–Porsezian–Daniel Equation with Finite Density Initial Data

The nonlinear Riemann–Hilbert problems for a new general Pavlov equation

Riemann-Hilbert problem associated with an integrable generalized mixed nonlinear Schrödinger equation

Inverse Scattering Transform and Dynamics of Soliton Solutions for Nonlocal Focusing Modified Korteweg-de Vries Equation

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

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

Long-time asymptotics for the defocusing Ablowitz-Ladik system with initial data in lower regularity

Boussinesq's equation for water waves: Asymptotics in Sector I

Riemann–Hilbert Method Equipped with Mixed Spectrum for N-Soliton Solutions of New Three-Component Coupled Time-Varying Coefficient Complex mKdV Equations

Long-time asymptotics for the integrable nonlocal Lakshmanan–Porsezian–Daniel equation with decaying initial value data

Multi‐soliton solutions of the three‐level coupled Schrödinger Maxwell‐Bloch equations via the Riemann‐Hilbert approach

Asymptotic analysis of high‐order solitons of an equivalent Kundu–Eckhaus equation

Long-time asymptotics of the Hunter-Saxton equation on the line

On behavior analysis of solutions for the coupled higher-order WKI equation

On the dispersionless Davey-Stewartson hierarchy: the tau function, the Riemann-Hilbert problem and the Hamilton-Jacobi theory

Multi-pole solitons and breathers for a nonlocal Lakshmanan-Porsezian-Daniel equation with non-zero boundary conditions

On a Class of Elliptic Orthogonal Polynomials and their Integrability

Nonlocal Kundu–Eckhaus equation: integrability, Riemann–Hilbert approach and Cauchy problem with step-like initial data

Spectral structures and soliton dynamical behaviors of two shifted nonlocal NLS equations via a novel Riemann–Hilbert approach: A reverse-time NLS equation and a reverse-spacetime NLS equation

On singular limits of finite Hilbert transform operators on multi‐intervals

On the linearizable initial–boundary value problems for the Sasa–Satsuma equation on the half-line

Long-time asymptotics for the coupled complex short-pulse equation with decaying initial data

On the Integrable Structure of Deformed Sine Kernel Determinants

Exact multi-soliton solutions of the KdV equation with a source: Riemann–Hilbert formulation

On the gap probability of the tacnode process

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