Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies

Details Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies Möbius invariant integrable lattice equations associated with KP and 2DTL hierarchies

1998-06-25

arxiv.org/abs/solv-int/9806008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

13 pages, LaTeX; talk at SIDE III conference, Sabaudia, Italy, May 1998

Scientific paper

10.1016/S0375-9601(99)00199-1

Integrable lattice equations arising in the context of singular manifold equations for scalar, multicomponent KP hierarchies and 2D Toda lattice hierarchy are considered. These equation generate the corresponding continuous hierarchy of singular manifold equations, its B\"acklund transformations and different forms of superposition principles. They possess rather special form of compatibility representation. The distinctive feature of these equations is invariance under the action of M\"obius transformation. Geometric interpretation of these discrete equations is given.

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