\(N\)-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method (Q2685004)

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English	\(N\)-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method	scientific article

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title

\(N\)-(soliton, breather) interactions for general multi-component third-fifth-order mKdV equations via Riemann-Hilbert method (English)

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17 February 2023

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zbMATH Keywords

multi-component third-fifth-order mKdV equations

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Lax pair

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Riemann-Hilbert approach

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soliton solutions

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breathers

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.wavemoti.2022.103053

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Soliton Management in Periodic Systems

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Nonlinear Waves in Integrable and Nonintegrable Systems

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Q4327356

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Q5697068

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Q3732103

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Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system

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Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method

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

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Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition

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Initial-boundary value problems for the coupled modified Korteweg-de Vries equation on the interval

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Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method

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An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line

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The three-wave 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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Initial-Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half-Line

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Korteweg‐devries equation and generalizations. VI. methods for exact solution

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Soliton-radiation coupling in the parametrically driven, damped nonlinear Schrödinger equation

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High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem

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Integrable properties of the general coupled nonlinear Schrödinger equations

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A vector general nonlinear Schrödinger equation with \((m+n)\) components

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Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation

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

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Integrability aspects and multi-soliton solutions of a new coupled Gerdjikov-Ivanov derivative nonlinear Schrödinger equation

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Riemann-Hilbert method and <i>N</i>-soliton for two-component Gerdjikov-Ivanov equation

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Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach

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Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations

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Inverse scattering transform and soliton classification of the coupled modified Korteweg-de Vries equation

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The unified method: I. Nonlinearizable problems on the half-line

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The unified method: II. NLS on the half-line with<i>t</i>-periodic boundary conditions

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A unified transform method for solving linear and certain nonlinear PDEs

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Integrable nonlinear evolution equations on the half-line

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Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs

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Q5574350

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Predicting eddy detachment for an equivalent barotropic thin jet

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An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders

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Bilinearization of Nonlinear Evolution Equations. II. Higher-Order Modified Korteweg-de Vries Equations

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The Coupled Modified Korteweg-de Vries Equations

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Identifiers

DOI

10.1016/j.wavemoti.2022.103053

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2685004