R. Yamilov

activity

19942020

most citedGeneralized symmetry integrability test for discrete equations on the square lattice

44 citations · 220 across the 19 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

nlin.SI2017

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…

nlin.SI2017★ 22 cited

Classification of five-point differential-difference equations II

R. N. Garifullin, R. I. Yamilov, D. Levi

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-diffe…

nlin.SI2017★ 19 cited

Darboux Integrability of Trapezoidal $H^{4}$ and $H^{6}$ Families of Lattice Equations II: General Solutions

Giorgio Gubbiotti, Christian Scimiterna, Ravil I. Yamilov

In this paper we construct the general solutions of two families of quad-equations, namely the trapezoidal $H^{4}$ equations and the $H^{6}$ equations. These solutions are obtained…

On the integrability of a lattice equation with two continuum limits

Classification of five-point differential-difference equations II

Darboux Integrability of Trapezoidal H4 and H6 Families of Lattice Equations II: General Solutions

Darboux Integrability of Trapezoidal $H^{4}$ and $H^{6}$ Families of Lattice Equations II: General Solutions