Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice
β Scribed by A. Kh. Khanmamedov
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 223 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
The Toda lattice hierarchy is shown to have the Bruhat decomposition of the A~ group as its parameter space instead of the Grassmann manifold for the KP hierarchy. Takasaki's work on the initial value problem for the Toda lattice hierarchy is reinterpreted from this point of view.
## Abstract We study the stability properties of the oneβdimensional SchrΓΆdinger 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