Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies
✍ Scribed by L.V. Bogdanov; B.G. Konopelchenko
- Book ID
- 104337375
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 85 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0375-9601
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✦ Synopsis
The integrable lattice equations arising in the context of singular manifold equations for scalar, multicomponent KP hierarchies and 2D Toda lattice hierarchy are considered. They generate the corresponding continuous hierarchy of singular manifold equations, its Backlund transformations and different forms of superposition principles; their distinctive feature is ïnvariance under the action of Mobius transformation. Geometric interpretation of these discrete equations is given.
📜 SIMILAR VOLUMES
Positive and negative hierarchies of nonlinear integrable lattice models are derived from a discrete spectral problem. The two lattice hierarchies are proved to have discrete zero curvature representations associated with a discrete spectral problem, which also shows that the positive and negative h