1 citations · 1 across the 2 of their papers we have counts for
6 papers
Generalized invariant manifolds for integrable equations and their applications
I. T. Habibullin, A. R. Khakimova, A. O. Smirnov
In the article we discuss the notion of the generalized invariant manifold introduced in our previous study. In the literature the method of the differential constraints is well kn…
Characteristic Lie Algebras of Integrable Differential-Difference Equations in 3D
I. T. Habibullin, A. R. Khakimova
The purpose of this article is to develop an algebraic approach to the problem of integrable classification of differential-difference equations with one continuous and two discret…
Invariant manifolds and separation of the variables for integrable chains
I. T. Habibullin, A. R. Khakimova
A notion of the generalized invariant manifold for a nonlinear integrable lattice is considered. Earlier it has been observed that this kind objects provide an effective tool for e…
Integrable boundary conditions for the Hirota-Miwa equation and Lie algebras
Ismagil Habibullin, Aigul Khakimova
Systems of discrete equations on a quadrilateral graph related to the series of the affine Lie algebras are studied. The systems are derived from the Hirota-Miwa equati…
Discrete exponential type systems on a quad graph, corresponding to the affine Lie algebras
I T Habibullin, A R Khakimova
The article deals with the problem of the integrable discretization of the well-known Drinfeld-Sokolov hierarchies related to the Kac-Moody algebras. A class of discrete exponentia…
On the recursion operators for integrable equations
I. T. Habibullin, A. R. Khakimova
It is widely known that the recursion operator is a very important component of integrability. It allows one to describe in a compact form both hierarchies of the generalized symme…