-integrability test for discrete equations via multiple scale expansions.
Calogero-Moser spaces and an adelic -algebra
We introduce a Lie algebra, which we call adelic -algebra. Then we construct a natural bosonic representation and show that the points of the Calogero-Moser spaces are in 1:1 correspondence with the tau-functions in this representation.
Chains of KP, semi-infinite 1-Toda lattice hierarchy and Kontsevich integral.
Chapitre VI Compactification d’actions de et variables action-angle avec singularités
Classical -operators and integrable generalizations of Thirring equations.
Clifford algebra derivations of tau-functions for two-dimensional integrable models with positive and negative flows.
Commutative rings of differential operators corresponding to multidimensional algebraic varieties.
Compatible flat metrics.
Completely integrable systems associated with classical root systems.
Contact integrable extensions and differential coverings for the generalized (2 + 1)-dimensional dispersionless Dym equation
The method of contact integrable extensions is used to find new differential coverings for the generalized (2 + 1)-dimensional dispersionless Dym equation and corresponding Bäcklund transformations.
Continuous and discrete (classical) Heisenberg spin chain revised.
Convergence of Birkhoff normal forms for integrable systems.
Corrections to "L2 -characteristic classes of Maslov–Trofimov of hamiltonian systems on the Lie algebra of the upper triangular matrices" (Fund. Math. 156 (1998), 99–110)
Coupled modified KP hierarchy and its dispersionless limit.
Cyclic coverings of abelian varities and the Goryachev-Chaplygin top.