Multi-component Gerdjikov-Ivanov system and its Riemann-Hilbert problem under zero boundary conditions
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Publication:2025882
DOI10.1016/j.nonrwa.2020.103279zbMath1468.35103OpenAlexW3128630346MaRDI QIDQ2025882
Publication date: 17 May 2021
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2020.103279
Riemann-Hilbert problembi-Hamiltonian structure\(N\)-soliton solutionmulti-component Gerdjikov-Ivanov equation
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
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Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem, \(N\)-soliton solutions to the multi-component nonlocal Gerdjikov-Ivanov equation via Riemann-Hilbert problem with zero boundary conditions
Cites Work
- Unnamed Item
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- A Riemann-Hilbert approach to the Harry-Dym equation on the line
- Variational identities and applications to Hamiltonian structures of soliton equations
- Dressing for a novel integrable generalization of the nonlinear Schrödinger equation
- Integrable theory of the perturbation equations.
- A dressing method in mathematical physics.
- The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems. II
- Semi-direct sums of Lie algebras and continuous integrable couplings
- Symplectic structures, their Bäcklund transformations and hereditary symmetries
- Lie algebras and equations of Korteweg-de Vries type
- Exact solution to higher-order nonlinear equations through gauge transformation
- Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
- Quadratic bundle and nonlinear equations
- A hierarchy of Liouville integrable finite-dimensional Hamiltonian systems
- Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
- On integrable wave interactions and Lax pairs on symmetric spaces
- Riemann-Hilbert problem, integrability and reductions
- Conservation laws of discrete evolution equations by symmetries and adjoint symmetries
- Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
- Dressing method and quadratic bundles related to symmetric spaces. Vanishing boundary conditions
- Two kinds of new integrable decompositions of the Gerdjikov-Ivanov equation
- Riemann-Hilbert approach and N-soliton formula for coupled derivative Schrödinger equation
- The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Method for Solving the Korteweg-deVries Equation
- KP Hierarchies of Orthogonal and Symplectic Type–Transformation Groups for Soliton Equations VI–
- A simple model of the integrable Hamiltonian equation
- Integrable Multi-Component Hybrid Nonlinear Schrödinger Equations
- Darboux transformation and soliton-like solutions for the Gerdjikov-Ivanov equation
- Perturbation theory for nearly integrable multicomponent nonlinear PDEs
- General soliton matrices in the Riemann–Hilbert problem for integrable nonlinear equations
- Integrable properties of the general coupled nonlinear Schrödinger equations
- Adjoint Symmetry Constraints Leading to Binary Nonlinearization
- Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
- Integrals of nonlinear equations of evolution and solitary waves
- SOLUTIONS OF A DERIVATIVE NONLINEAR SCHRÖDINGER HIERARCHY AND ITS SIMILARITY REDUCTION
- Integrable Hamiltonian hierarchies. Spectral and geometric methods
