An initial-boundary value problem for the nonlinear Schrödinger equation
From MaRDI portal
Publication:1822694
DOI10.1016/0167-2789(89)90101-2zbMath0679.35076OpenAlexW2056413318MaRDI QIDQ1822694
Publication date: 1989
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0167-2789(89)90101-2
Initial-boundary value problems for second-order parabolic equations (35K20) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)
Related Items (28)
Complete integrability, gauge equivalence and Lax representation of inhomogeneous nonlinear evolution equations ⋮ Linearizable boundary value problems for the nonlinear Schrödinger equation in laboratory coordinates ⋮ A quantum mechanics analogy for the nonlinear Schrödinger equation in the finite line ⋮ The nonlinear Schrödinger equation in the finite line ⋮ Initial value problems for a system of nonlinear equations on a half- line ⋮ Characteristic properties of the scattering data for the mKdV equation on the half-line ⋮ Nonhomogeneous Boundary Value Problems of Nonlinear Schrödinger Equations in a Half Plane ⋮ Stochastic nonlinear Schrödinger equation with Brown-noise boundary conditions of mixed type ⋮ Generation of asymptotic solitons of the nonlinear Schrödinger equation by boundary data ⋮ On the forced nonlinear Schrödinger equation ⋮ The Ginzburg-Landau equation with nonzero Neumann boundary data ⋮ Solving the non-isospectral Ablowitz-Ladik hierarchy via the inverse scattering transform and reductions ⋮ An initial-boundary value problem of the nonlinear schrödinger equation ⋮ Dromions and a boundary value problem for the Davey-Stewartson 1 equation ⋮ Generalized solutions to the cubic Schrödinger equation ⋮ The Ablowitz-Ladik system on the natural numbers with certain linearizable boundary conditions ⋮ On the Nonlinear Schrödinger Equation on the Half Line with Homogeneous Robin Boundary Conditions ⋮ Quantization of the nonlinear Schrödinger equation on the half line ⋮ An initial-boundary value problem for the Ginzburg-Landau equation ⋮ Long-time asymptotics for solutions of the NLS equation with a delta potential and even initial data: announcement of results ⋮ Asymptotic behavior of singular solitons and the inverse scattering method for solving boundary value problems ⋮ Initial-Boundary Value Problems for the Coupled Nonlinear Schrödinger Equation on the Half-Line ⋮ The initial-boundary value for the combined Schrödinger and Gerdjikov-Ivanov equation on the half-line via the Riemann-Hilbert approach ⋮ Robin boundary condition and shock problem for the focusing nonlinear Schrödinger equation ⋮ Forced cubic Schrödinger equation with Robin boundary data: large-time asymptotics ⋮ Boundary value problem for the KdV equation on a half-line ⋮ KdV equation on a half-line with the zero boundary condition ⋮ Algebrogeometric solutions of the nonlinear boundary problem on a segment for the sine-Gordon equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Effective sufficient conditions for the solvability of the inverse problem of monodromy theory for systems of linear ordinary differential equations
- The Korteweg–de Vries Equation, Posed in a Quarter-Plane
- Soliton generation and nonlinear wave propagation
- The inverse scattering transform: Semi-infinite interval
- Boundary conditions for integrable quantum systems
- Linearizable initial boundary value problems for the sine-Gordon equation on the half-line
This page was built for publication: An initial-boundary value problem for the nonlinear Schrödinger equation
