19 citations · 66 across the 18 of their papers we have counts for
3 papers · 1 filter
Construction of exact solutions to the Ruijsenaars-Toda lattice via generalized invariant manifolds
I. T. Habibullin, A. R. Khakimova, A. O. Smirnov
The article discusses a new method for constructing algebro-geometric solutions of nonlinear integrable lattices, based on the concept of a generalized invariant manifold (GIM). In…
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…