Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
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Publication:3134094
DOI10.1063/1.5018294zbMath1383.35204arXiv1612.02726OpenAlexW2599129240MaRDI QIDQ3134094
Mark J. Ablowitz, Ziad H. Musslimani, Xu-Dan Luo
Publication date: 8 February 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1612.02726
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)
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Cites Work
- Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
- The inverse scattering transform for the focusing nonlinear Schrödinger equation with asymmetric boundary conditions
- The Inverse Scattering Transform for the Defocusing Nonlinear Schrödinger Equations with Nonzero Boundary Conditions
- Inverse scattering transform for the vector nonlinear Schrödinger equation with nonvanishing boundary conditions
- The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
- Integrable Nonlocal Nonlinear Equations
- Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
- Boundary value problems in the theory of analytic functions in Hölder classes on Riemann surfaces
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