Application of the Riemann-Hilbert method to the vector modified Korteweg-de Vries equation
From MaRDI portal
Publication:2023096
DOI10.1007/s11071-019-05359-xzbMath1459.37056OpenAlexW2990350903MaRDI QIDQ2023096
Publication date: 3 May 2021
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-019-05359-x
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)
Related Items (6)
The general fifth-order nonlinear Schrödinger equation with nonzero boundary conditions: inverse scattering transform and multisoliton solutions ⋮ Solitons and rogue waves of the quartic nonlinear Schrödinger equation by Riemann-Hilbert approach ⋮ Inverse scattering transforms of the inhomogeneous fifth-order nonlinear Schrödinger equation with zero/nonzero boundary conditions ⋮ Reverse-time type nonlocal Sasa–Satsuma equation and its soliton solutions ⋮ Riemann-Hilbert problem and \(N\)-soliton solutions for the \(n\)-component derivative nonlinear Schrödinger equations ⋮ On the \(\bar\partial \)-problem and dressing method for the complex vector modified KdV equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Initial-boundary problems for the vector modified Korteweg-de Vries equation via Fokas unified transform method
- Spatiotemporal Hermite-Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation
- A new integrable \((3+1)\)-dimensional KdV-like model with its multiple-soliton solutions
- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs
- Integrability and bright soliton solutions to the coupled nonlinear Schrödinger equation with higher-order effects
- Dressing for a novel integrable generalization of the nonlinear Schrödinger equation
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- The Riemann-Bäcklund method to a quasiperiodic wave solvable generalized variable coefficient \((2+1)\)-dimensional KdV equation
- Long-time asymptotics and the bright \(N\)-soliton solutions of the Kundu-Eckhaus equation via the Riemann-Hilbert approach
- Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
- Characteristics of the solitary waves and lump waves with interaction phenomena in a \((2+1)\)-dimensional generalized Caudrey-Dodd-Gibbon-Kotera-Sawada equation
- Solitary and rogue waves with controllable backgrounds for the non-autonomous generalized \(AB\) system
- Riemann-Hilbert problems of a six-component mKdV system and its soliton solutions
- Novel rogue waves and dynamics in the integrable pair-transition-coupled nonlinear Schrödinger equation
- Complex simplified Hirota's forms and Lie symmetry analysis for multiple real and complex soliton solutions of the modified KdV-sine-Gordon equation
- Long-time asymptotics for the Fokas-Lenells equation with decaying initial value problem: without solitons
- Residual symmetry, Bäcklund transformation and CRE solvability of a \((2+1)\)-dimensional nonlinear system
- Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- The unified transform method for the Sasa–Satsuma equation on the half-line
- Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
- The unified method: I. Nonlinearizable problems on the half-line
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Long-time asymptotic behavior for the Gerdjikov-Ivanov type of derivative nonlinear Schrödinger equation with time-periodic boundary condition
- Lax pair and Darboux transformation for multi-component modified Korteweg–de Vries equations
- The inverse scattering transform and squared eigenfunctions for a degenerate 3 × 3 operator
- Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
- Riemann-Hilbert method and N-soliton for two-component Gerdjikov-Ivanov equation
- Integrable properties of the general coupled nonlinear Schrödinger equations
- The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method
This page was built for publication: Application of the Riemann-Hilbert method to the vector modified Korteweg-de Vries equation
