11 citations · 17 across the 4 of their papers we have counts for
8 papers
Modified series of integrable discrete equations on a square lattice with a non-standard symmetry structure
R. N. Garifullin, R. I. Yamilov
In a recent paper [TMP, 200:1 (2019), 966--984] by the authors, a series of integrable discrete autonomous equations on a square lattice with a non-standard structure of generalize…
On a series of Darboux integrable discrete equations on the square lattice
R. N. Garifullin, R. I. Yamilov
We present a series of Darboux integrable discrete equations on the square lattice. Equations of the series are numbered with natural numbers . All the equations have a first in…
Integrable Modifications of the Ito-Narita-Bogoyavlensky Equation
Rustem N. Garifullin, Ravil I. Yamilov
We consider five-point differential-difference equations. Our aim is to find integrable modifications of the Ito-Narita-Bogoyavlensky equation related to it by non-invertible discr…
Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations
R. N. Garifullin, G. Gubbiotti, R. I. Yamilov
In this paper we construct the autonomous quad-equations which admit as symmetries the five-point differential-difference equations belonging to known lists found by Garifullin, Ya…
An unusual series of autonomous discrete integrable equations on the square lattice
R. N. Garifullin, R. I. Yamilov
We present an infinite series of autonomous discrete equations on the square lattice possessing hierarchies of autonomous generalized symmetries and conservation laws in both direc…
On the integrability of a lattice equation with two continuum limits
R. N. Garifullin, R. I. Yamilov
We study a new example of lattice equation being one of the key equations of a recent generalized symmetry classification of five-point differential-difference equations. This equa…