Semiclassical nonlinear Schrödinger on the half line

DOI10.1063/1.1624091zbMath1063.37067OpenAlexW38714979MaRDI QIDQ4833213

Spyridon Kamvissis

Publication date: 14 December 2004

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1624091

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Inverse problems involving ordinary differential equations (34A55) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (13)

Initial-boundary value problems for the general coupled nonlinear Schrödinger equation on the interval via the Fokas method ⋮ Nonhomogeneous Boundary Value Problems of Nonlinear Schrödinger Equations in a Half Plane ⋮ Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations ⋮ The solution of the global relation for the derivative nonlinear Schrödinger equation on the half-line ⋮ Initial-boundary value problems for integrable evolution equations with \(3\times 3\) Lax pairs ⋮ Integrable nonlinear evolution equations on a finite interval ⋮ An initial-boundary value problem for the integrable spin-1 Gross-Pitaevskii equations with a 4 × 4 Lax pair on the half-line ⋮ Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 × 4 Lax pair on a finite interval ⋮ Nonlinear Fourier Transforms and the mKdV Equation in the Quarter Plane ⋮ A Perturbative Approach for the Asymptotic Evaluation of the Neumann Value Corresponding to the Dirichlet Datum of a Single Periodic Exponential for the NLS ⋮ An initial-boundary-value problem of 2D nonlinear Schrödinger equation in a strip ⋮ Nonlinear Schrödinger equations on a finite interval with point dissipation ⋮ Initial‐Boundary Value Problems for the Defocusing Nonlinear Schrödinger Equation in the Semiclassical Limit

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