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Möbius invariant integrable lattice equations associated with the generalized KP hierarchy. (English) Zbl 0958.37059
Levi, Decio (ed.) et al., SIDE III - Symmetries and integrability of difference equations. Proceedings of the 3rd conference, Sabaudia, Italy, May 16-22, 1998. Providence, RI: American Mathematical Society (AMS). CRM Proc. Lect. Notes. 25, 33-45 (2000).
Summary: Möbius invariant integrable lattice equations arising in the context of singular manifold equations for scalar and multicomponent generalized KP hierarchy and 2D Toda lattice hierarchy are considered. These equations generate the corresponding continuous hierarchy of singular manifold equations, its Bäcklund transformations and different forms of superposition principles for them. They possess rather special form of compatibility representation. Geometric interpretation of these discrete equations is given.
For the entire collection see [Zbl 0943.00052].
37K60 Lattice dynamics; integrable lattice equations
35Q58 Other completely integrable PDE (MSC2000)
37K35 Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems
52C99 Discrete geometry