In the present paper, the nonlocal boundary value problem Schrödinger equation in a Hilbert space H with the self-adjoint operator A is considered. Stability estimates for the solution of this problem are established. Two nonlocal boundary value problems are investigated. The first and second order
Integrable boundary value problems for the multicomponent Schrödinger equations
✍ Scribed by I.T. Habibullin; S.I. Svinolupov
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 385 KB
- Volume
- 87
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We study the stability properties of the one‐dimensional Schrödinger equation with boundary conditions that involve the derivative in the direction of propagation (or time). We show that this type of boundary condition might cause a strong growth of the amplitude of the solution. Such a
We present a new algorithm, the time dependent phase space filter (TDPSF) which is used to solve time dependent nonlinear Schro ¨dinger equations (NLS). The algorithm consists of solving the NLS on a box with periodic boundary conditions (by any algorithm). Periodically in time we decompose the solu