Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies
Abstract
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 Bäcklund transformations and different forms of superposition principles; their distinctive feature is invariance under the action of Möbius transformation. Geometric interpretation of these discrete equations is given.
 Publication:

Physics Letters A
 Pub Date:
 May 1999
 DOI:
 10.1016/S03759601(99)001991
 arXiv:
 arXiv:solvint/9806008
 Bibcode:
 1999PhLA..256...39B
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 13 pages, LaTeX