Nilpotent and recursive flows.
Nonarchimedean dynamical systems
Nonclassical approximate symmetries of evolution equations with a small parameter.
On approximation of solutions to some -dimensional integrable systems by Bäcklund transformations.
On classical series expansions for quasi-periodic motions.
On non-point invertible transformations of difference and differential-difference equations.
On some integrable cases in surface theory
On the GBDT Version of the Bäcklund-Darboux Transformation and its Applications to Linear and Nonlinear Equations and Weyl Theory
A general theorem on the GBDT version of the Bäcklund-Darboux transformation for systems depending rationally on the spectral parameter is treated and its applications to nonlinear equations are given. Explicit solutions of direct and inverse problems for Dirac-type systems, including systems with singularities, and for the system auxiliary to the N-wave equation are reviewed. New results on explicit construction of the wave functions for radial...
On the one class of hyperbolic systems.
Remarks on the Darboux transform of isothermic surfaces.
Symmetries in connection preserving deformations.
The lattice structure of connection preserving deformations for -Painlevé equations I.
The Lax integrable differential-difference dynamical systems on extended phase spaces.
The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI
Equivalence is established between a special class of Painlevé VI equations parametrized by a conformal dimension , time dependent Euler top equations, isomonodromic deformations and three-dimensional Frobenius manifolds. The isomonodromic tau function and solutions of the Euler top equations are explicitly constructed in terms of Wronskian solutions of the 2-vector 1-constrained symplectic Kadomtsev-Petviashvili (CKP) hierarchy by means of Grassmannian formulation. These Wronskian solutions give...
Transformations between surfaces in with flat normal and/or tangent bundles.
Transformations for hypersurfaces with vanishing Gauss-Kronecker curvature.
Tzitzeica-Bäcklund theorems.
О соответствии Беклунда