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pro vyhledávání: '"Garifullin R"'
Autor:
Garifullin, R. N.
The work deals with the qualification of semidiscrete hyperbolic type equations. We study a class of equations of the form $$\frac{du_{n+1}}{dx}=f\left(\frac{du_{n}}{dx},u_{n+1},u_{n}\right),$$ here the unknown function $u_n(x)$ depends on one discre
Externí odkaz:
http://arxiv.org/abs/2312.03745
Autor:
Garifullin, R. N.
In this paper, a classification of semidiscrete equations of hyperbolic type is carried out. We study the class of equations of the form $$\frac{du_{n+1}}{dx}=f\left(\frac{du_{n}}{dx},u_{n+1},u_{n}\right),$$ here is the unknown function $u_n (x)$ dep
Externí odkaz:
http://arxiv.org/abs/2212.02063
Autor:
Garifullin, R. N., Yamilov, R. I.
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 generalized symmetries is constructed. We build modified series by using discret
Externí odkaz:
http://arxiv.org/abs/2003.02025
Autor:
Garifullin, R. N., Yamilov, R. I.
We present a series of Darboux integrable discrete equations on the square lattice. Equations of the series are numbered with natural numbers $M$. All the equations have a first integral of the first order in one of directions of the two-dimensional
Externí odkaz:
http://arxiv.org/abs/1906.04503
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, Yamilov and Levi. The obtained equations are classified up to autonomous
Externí odkaz:
http://arxiv.org/abs/1810.11184
Autor:
Garifullin, R. N., Yamilov, R. I.
We present an infinite series of autonomous discrete equations on the square lattice possessing hierarchies of autonomous generalized symmetries and conservation laws in both directions. Their orders in both directions are equal to $\kappa N$, where
Externí odkaz:
http://arxiv.org/abs/1808.05042
Autor:
Garifullin, R. N.1 (AUTHOR) rustem@matem.anrb.ru
Publikováno v:
Theoretical & Mathematical Physics. Nov2023, Vol. 217 Issue 2, p1767-1776. 10p.
Autor:
Garifullin, R. N., Yamilov, R. I.
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 equation has two different continuum limits which are the well-known fifth
Externí odkaz:
http://arxiv.org/abs/1708.03179
Using the generalized symmetry method we finish a classification, started in the article [R.N. Garifullin, R.I. Yamilov and D. Levi, Classification of five-point differential-difference equations, J. Phys. A: Math. Theor. 50 (2017) 125201 (27pp)], of
Externí odkaz:
http://arxiv.org/abs/1708.02456
Autor:
Garifullin, R. N., Yamilov, R. I.
We study a new example of equation obtained as a result of a recent generalized symmetry classification of differential-difference equations defined on five points of one-dimensional lattice. We have established that in the continuous limit this new
Externí odkaz:
http://arxiv.org/abs/1612.03652