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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 non
✍ Ye-peng Sun; Deng-yuan Chen; Xi-xiang Xu 📂 Article 📅 2006 🏛 Elsevier Science 🌐 English ⚖ 163 KB

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