Finite-difference solutions of a non-linear Schrödinger equation
✍ Scribed by M Delfour; M Fortin; G Payr
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 773 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract Using a general symmetry approach we establish transformations between different non‐linear space–time dependent evolution equations of Schrödinger type and their respective solutions. As a special case we study the transformation of the standard non‐linear Schrödinger equation (NLS)‐eq
explicit and local. Its novel features include the exact evaluation of a major contribution to an approximation to the The matrix elements of the exponential of a finite difference realization of the one-dimensional Laplacian are found exactly. This evolution operator (Eq. ( )) and a first-order ap
The existence of the classical global solutions for the non-linear Klein-Gordon-Schro¨dinger equations is proved in H-subcritical cases for space dimensions n)5. For higher space dimensions 6)n)9, we will give a subsequent paper to deal with.
We describe the application of block Gauss-Seidel and block Jacobi iterative methods to the design of implicit propagators for finite-difference models of the time-dependent Schrrdinger equation. The block-wise iterative methods discussed here are mixed direct-iterative methods for solving simultane
## Abstract We study a class of time‐independent non‐linear Schrödinger‐type equations on the whole space with a repulsive singular potential in the divergence operator and we establish the existence of non‐trivial standing wave solutions for this problem in an appropriate weighted Sobolev space. S