Application of the Riemann-Hilbert method to the vector modified Korteweg-de Vries equation (Q2023096)

scientific article; zbMATH DE number 7341823

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English	Application of the Riemann-Hilbert method to the vector modified Korteweg-de Vries equation	scientific article; zbMATH DE number 7341823

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instance of

scholarly article

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title

Application of the Riemann-Hilbert method to the vector modified Korteweg-de Vries equation (English)

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3 May 2021

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zbMATH Keywords

inverse scattering transform

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Riemann-Hilbert problem

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multi-soliton solutions

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s11071-019-05359-x

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cites work

A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions

0 references

Spatiotemporal Hermite-Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation

0 references

Solitary and rogue waves with controllable backgrounds for the non-autonomous generalized \(AB\) system

0 references

Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations

0 references

The Riemann-Bäcklund method to a quasiperiodic wave solvable generalized variable coefficient \((2+1)\)-dimensional KdV equation

0 references

Residual symmetry, Bäcklund transformation and CRE solvability of a \((2+1)\)-dimensional nonlinear system

0 references

Complex simplified Hirota's forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation

0 references

Novel rogue waves and dynamics in the integrable pair-transition-coupled nonlinear Schrödinger equation

0 references

Characteristics of the solitary waves and lump waves with interaction phenomena in a \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation

0 references

Q3925229

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Q3732103

0 references

Nonlinear Waves in Integrable and Nonintegrable Systems

0 references

Integrable properties of the general coupled nonlinear Schrödinger equations

0 references

Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects

0 references

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

0 references

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

0 references

Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions

0 references

The inverse scattering transform and squared eigenfunctions for a degenerate 3 × 3 operator

0 references

Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation

0 references

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

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

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

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

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

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Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons

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

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Initial-boundary problems for the vector modified Korteweg-de Vries equation via Fokas unified transform method

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Q4002235

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Dressing for a novel integrable generalization of the nonlinear Schrödinger equation

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Lax pair and Darboux transformation for multi-component modified Korteweg–de Vries equations

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Identifiers

zbMATH Open document ID

1459.37056

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Mathematics Subject Classification ID

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10.1007/S11071-019-05359-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2023096