Generalized symmetry classification of discrete equations of a class depending on twelve parameters RN Garifullin, RI Yamilov Journal of Physics A: Mathematical and Theoretical 45 (34), 345205, 2012 | 67 | 2012 |
Discrete equation on a square lattice with a nonstandard structure of generalized symmetries RN Garifullin, AV Mikhailov, RI Yamilov Theoretical and Mathematical Physics 180, 765-780, 2014 | 36* | 2014 |
Autoresonance excitation of a breather in weak ferromagnetics RN Garifullin, LA Kalyakin, MA Shamsutdinov Computational Mathematics and Mathematical Physics 47 (7), 1158-1170, 2007 | 35* | 2007 |
Classification of five-point differential-difference equations RN Garifullin, RI Yamilov, D Levi Journal of Physics A: Mathematical and Theoretical 50 (12), 125201, 2017 | 28 | 2017 |
Method for searching higher symmetries for quad-graph equations RN Garifullin, EV Gudkova, IT Habibullin Journal of Physics A: Mathematical and Theoretical 44 (32), 325202, 2011 | 28 | 2011 |
Phase shift in the Whitham zone for the Gurevich–Pitaevskii special solution of the Korteweg–de Vries equation R Garifullin, B Suleimanov, N Tarkhanov Physics Letters A 374 (13-14), 1420-1424, 2010 | 28 | 2010 |
Affine and finite Lie algebras and integrable Toda field equations on discrete space-time R Garifullin, I Habibullin, M Yangubaeva SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8, 062, 2012 | 26 | 2012 |
Integrable discrete nonautonomous quad-equations as Bäcklund auto-transformations for known Volterra and Toda type semidiscrete equations RN Garifullin, RI Yamilov Journal of Physics: Conference Series 621 (1), 012005, 2015 | 24 | 2015 |
Construction of asymptotic solutions in the autoresonance problem RN Garifullin Doklady Mathematics 70 (2), 799-802, 2004 | 22* | 2004 |
Peculiar symmetry structure of some known discrete nonautonomous equations RN Garifullin, IT Habibullin, RI Yamilov Journal of Physics A: Mathematical and Theoretical 48 (23), 235201, 2015 | 20 | 2015 |
Autoresonance parametric excitation of localized oscillations of magnetization in a ferromagnet by an AC field of a variable frequency LA Kalyakin, MA Shamsutdinov, RN Garifullin, RK Salimov The Physics of Metals and Metallography 104 (2), 107-120, 2007 | 20* | 2007 |
Classification of five-point differential–difference equations II RN Garifullin, RI Yamilov, D Levi Journal of Physics A: Mathematical and Theoretical 51 (6), 065204, 2018 | 17 | 2018 |
Examples of Darboux integrable discrete equations possessing first integrals of an arbitrarily high minimal order GR Nailevich, YR Islamovich Уфимский математический журнал 4 (3), 177-183, 2012 | 17 | 2012 |
From weak discontinuities to nondissipative shock waves RN Garifullin, BI Suleimanov Journal of Experimental and Theoretical Physics 110, 133-146, 2010 | 17 | 2010 |
Asymptotic solution to the problem of autoresonance: Outer expansion RN Garifullin Computational Mathematics and Mathematical Physics 46 (9), 1526-1538, 2006 | 17* | 2006 |
Non-invertible transformations of differential–difference equations RN Garifullin, RI Yamilov, D Levi Journal of Physics A: Mathematical and Theoretical 49 (37), 37LT01, 2016 | 15 | 2016 |
Integrable discrete autonomous quad-equations admitting, as generalized symmetries, known five-point differential-difference equations RN Garifullin, G Gubbiotti, RI Yamilov Journal of Nonlinear Mathematical Physics 26 (3), 333-357, 2019 | 13 | 2019 |
On integrability of a discrete analogue of Kaup-Kupershmidt equation GR Nailevich, YR Islamovich Уфимский математический журнал 9 (3), 158-164, 2017 | 13 | 2017 |
An unusual series of autonomous discrete integrable equations on a square lattice RN Garifullin, RI Yamilov Theoretical and Mathematical Physics 200 (1), 966-984, 2019 | 10* | 2019 |
Исследование роста решений нелинейного уравнения в зависимости от начальных данных РН Гарифуллин Региональная шк.-конф. для студентов, аспирантов и молодых ученых по …, 2003 | 9* | 2003 |