Riemann-Hilbert method and multi-soliton solutions of an extended modified Korteweg-de Vries equation with \(N\) distinct arbitrary-order poles
DOI10.1016/j.jmaa.2022.126103OpenAlexW4213444021MaRDI QIDQ2668945
Zhi-Qiang Li, Jin-Jie Yang, Shou-Fu Tian
Publication date: 9 March 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126103
zero boundary conditionsRiemann-Hilbert methodextended modified Korteweg-de Vries equation\(N\) distinct poles
Asymptotic behavior of solutions to PDEs (35B40) 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) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
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Cites Work
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- Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Riemann-Hilbert problems and \(N\)-soliton solutions for a coupled mKdV system
- High-order soliton matrices for Sasa-Satsuma equation via local Riemann-Hilbert problem
- Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
- Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations
- Inverse scattering transform and multiple high-order pole solutions for the Gerdjikov-Ivanov equation under the zero/nonzero background
- Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies
- Riemann-Hilbert approach to the modified nonlinear Schrödinger equation with non-vanishing asymptotic boundary conditions
- A vector general nonlinear Schrödinger equation with \((m+n)\) components
- Riemann-Hilbert method for the Wadati-Konno-Ichikawa equation: \(N\) simple poles and one higher-order pole
- Long-time asymptotic behavior for an extended modified Korteweg-de Vries equation
- Riemann-Hilbert method and multi-soliton solutions for three-component coupled nonlinear Schrödinger equations
- An extended modified KdV equation and its Painlevé integrability
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- Long-time asymptotics for the spin-1 Gross-Pitaevskii equation
- Riemann-Hilbert problem for the focusing nonlinear Schrödinger equation with multiple high-order poles under nonzero boundary conditions
- Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
- Higher-Order Solitons in the N-Wave System
- Scattering and inverse scattering for first order systems
- Korteweg‐devries equation and generalizations. VI. methods for exact solution
- A unified transform method for solving linear and certain nonlinear PDEs
- Method for Solving the Korteweg-deVries Equation
- Initial-boundary value problems of the coupled modified Korteweg–de Vries equation on the half-line via the Fokas method
- An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line
- The Riemann–Hilbert Problem and Inverse Scattering
- General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations
- Dynamics of the smooth positons of the complex modified KdV equation
- On a vector long wave‐short wave‐type model
- Integrable properties of the general coupled nonlinear Schrödinger equations
- The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method
- Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions