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Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data - MaRDI portal

Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data (Q6188567)

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scientific article; zbMATH DE number 7801173

Language	Label	Description	Also known as
English	Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data	scientific article; zbMATH DE number 7801173

Statements

scholarly article

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Riemann–Hilbert approach to the focusing and defocusing nonlocal complex modified Korteweg–de Vries equation with step-like initial data (English)

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Journal of Mathematical Physics

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publication date

7 February 2024

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1063/5.0174719

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The Modified Korteweg-de Vries Equation

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A Class of Exactly Solvable Nonlinear Evolution Equations

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Generalised KdV and MKdV equations associated with symmetric spaces

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An initial-boundary value problem on the half-line for the MKdV equation

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Exact envelope-soliton solutions of a nonlinear wave equation

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On the Darboux matrices of Bäcklund transformations for AKNS systems

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THE mKdV EQUATION ON THE HALF-LINE

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Riemann-Hilbert approach for an initial-boundary value problem of the two-component modified Korteweg-de Vries equation on the half-line

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Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies

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Integrable Nonlocal Nonlinear Equations

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Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system

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On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions

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Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform

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Long-Time Asymptotics for the Nonlocal MKdV Equation*

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A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

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Inverse scattering transforms and soliton solutions of focusing and defocusing nonlocal mKdV equations with non-zero boundary conditions

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\( \overline{\partial} \)-dressing method for the nonlocal mKdV equation

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Type \(( - \lambda, - \lambda^\ast)\) reduced nonlocal integrable mKdV equations and their soliton solutions

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Nonlocal integrable mKdV equations by two nonlocal reductions and their soliton solutions

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Reduced nonlocal integrable mKdV equations of type (−λ, λ) and their exact soliton solutions

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On a Riemann-Hilbert problem for the focusing nonlocal mKdV equation with step-like initial data

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On a Riemann-Hilbert problem for the Fokas-Lenells equation

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The Hirota equation: Darboux transform of the Riemann-Hilbert problem and higher-order rogue waves

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On the Riemann-Hilbert problem of the Kundu equation

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On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation

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On the Riemann-Hilbert problem for the integrable three-coupled Hirota system with a \(4 \times 4\) matrix Lax pair

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The initial-boundary value problems of the new two-component generalized Sasa-Satsuma equation with a \(4\times 4\) matrix Lax pair

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The soliton solutions for the Wadati-Konno-Ichikawa equation

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General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

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Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

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Curved wedges in the long‐time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

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Long-time asymptotics for the nonlocal nonlinear Schrödinger equation with step-like initial data

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Asymptotic stage of modulation instability for the nonlocal nonlinear Schrödinger equation

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Identifiers

10.1063/5.0174719

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6188567

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