17 citations · 37 across the 4 of their papers we have counts for
4 papers
Miura type transformations for integrable lattices in 3D
I. T. Habibullin, A. R. Khakimova, A. U. Sakieva
The article studies a class of integrable semidiscrete equations with one continuous and two discrete independent variables. Miura type transformations are obtained that relate the…
Integrability conditions for two-dimensional lattices
I. T. Habibullin, M. N. Kuznetsova, A. U. Sakieva
In the article some algebraic properties of nonlinear two-dimensional lattices of the form are studied. The problem of exhaustive description…
Discretization of hyperbolic type Darboux integrable equations preserving integrability
Ismagil Habibullin, Natalya Zheltukhina, Alfia Sakieva
A method of integrable discretization of the Liouville type nonlinear partial differential equations is suggested based on integrals. New examples of discrete Liouville type models…
On Darboux Integrable Semi-Discrete Chains
Ismagil Habibullin, Natalya Zheltukhina, Alfia Sakieva
Differential-difference equation with unknown depending on continuous and discrete variables and is…