Inverse scattering for nonlocal reverse-space multicomponent nonlinear Schrödinger equations
From MaRDI portal
Publication:4965713
DOI10.1142/S021797922150051XzbMath1455.35239OpenAlexW3127501622MaRDI QIDQ4965713
Wen-Xiu Ma, Fudong Wang, Ye-hui Huang
Publication date: 9 March 2021
Published in: International Journal of Modern Physics B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021797922150051x
Scattering theory for PDEs (35P25) NLS equations (nonlinear Schrödinger equations) (35Q55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15)
Related Items
\( \overline{\partial} \)-dressing method for the nonlocal mKdV equation, Multi-component generalized Gerdjikov-Ivanov integrable hierarchy and its Riemann-Hilbert problem, Multi-component AKNS systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Riemann-Hilbert approach to the Harry-Dym equation on the line
- An integrable decomposition of the Manakov equation
- General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations
- A dressing method in mathematical physics.
- Complexiton solutions to the Korteweg-de Vries equation
- Lump solutions to nonlinear partial differential equations via Hirota bilinear forms
- Application of the Riemann-Hilbert approach to the multicomponent AKNS integrable hierarchies
- Adjoint symmetry constraints of multicomponent AKNS equations.
- Long-time asymptotics of a three-component coupled nonlinear Schrödinger system
- Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
- Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- The unified method: I. Nonlinearizable problems on the half-line
- The unified method: III. Nonlinearizable problems on the interval
- Complete integrability of nonlocal nonlinear Schrödinger equation
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
- Nonlocal nonlinear Schrödinger equations and their soliton solutions
- Darboux transformations of integrable couplings and applications
- Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions
- Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations
- Integrable properties of the general coupled nonlinear Schrödinger equations
- Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation
