28 citations · 52 across the 5 of their papers we have counts for
5 papers
An algebraic criterion of the Darboux integrability of differential-difference equations and systems
I. T. Habibullin, M. N. Kuznetsova
The article investigates systems of differential-difference equations of hyperbolic type, integrable in sense of Darboux. The concept of a complete set of independent characteristi…
On a class of 2D integrable lattice equations
E. V. Ferapontov, I. T. Habibullin, M. N. Kuznetsova +1
We develop a new approach to the classification of integrable equations of the form where $\tr…
On a classification algorithm of the integrable two-dimensional lattices via Lie-Rinehart algebras
I. T. Habibullin, M. N. Kuznetsova
In the article the problem of the integrable classification of nonlinear lattices depending on one discrete and two continuous variables is studied. By integrability we mean the pr…
Algebraic Properties of Quasilinear Two-Dimensional Lattices connected with integrability
I. T. Habibullin, M. N Kuznetsova
In the article a classification method for nonlinear integrable equations with three independent variables is discussed based on the notion of the integrable reductions. We call th…
The Klein-Gordon Equation and Differential Substitutions of the Form
Mariya N. Kuznetsova, Asli Pekcan, Anatoliy V. Zhiber
We present the complete classification of equations of the form and the Klein-Gordon equations connected with one another by differential substi…