Author

Ravil Islamovich Yamilov

Observed names: R I Yamilov, R Yamilov, R. I. Yamilov, R. YAMILOV, R. Yamilov, R.I. Yamilov, Ravil I Yamilov, Ravil I. Yamilov, Ravil Yamilov, Yamilov, R., Yamilov, R. I., Yamilov, Ravil, Yamilov, Ravil I.

Observed institutions: Roma Tre University, University of Leeds, Russian Academy of Sciences, Landau Institute for Theoretical Physics, Institute for High Energy Physics, Istituto Nazionale di Fisica Nucleare, Sezione di Roma Tre, Ural Branch of the Russian Academy of Sciences, Institute of Mathematics with Computer Center, Istituto Nazionale di Fisica Nucleare, Sezione di Roma I, Academy of Sciences of the Soviet Union

OpenAlex ID: A5007730707

The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems

1987 · A V Mikhailov, A B Shabat, et al. · Russian Mathematical Surveys · 271

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Symmetries as integrability criteria for differential difference equations

2006 · Ravil Yamilov · Journal of Physics A Mathematical and General · 165

Symmetry Approach to the Integrability Problem

2000 · V. É. Adler, A. B. Shabat, et al. · Theoretical and Mathematical Physics · 160

Conditions for the existence of higher symmetries of evolutionary equations on the lattice

1997 · D. Levi, R. Yamilov · Journal of Mathematical Physics · 136

Extension of the module of invertible transformations. Classification of integrable systems

1988 · A. V. Mikhailov, A. B. Shabat, et al. · Communications in Mathematical Physics · 109

Multi-component Volterra and Toda type integrable equations

1999 · V.E. Adler, S.I. Svinolupov, et al. · Physics Letters A · 82

Explicit auto-transformations of integrable chains

1994 · V E Adler, R I Yamilov · Journal of Physics A Mathematical and General · 75

To a transformation theory of two-dimensional integrable systems

1997 · A.B. Shabat, R.I. Yamilov · Physics Letters A · 73

Master symmetries for differential-difference equations of the Volterra type

1995 · I.Yu. Cherdantsev, R.I. Yamilov · Physica D Nonlinear Phenomena · 67

Construction scheme for discrete Miura transformations

1994 · R I Yamilov · Journal of Physics A Mathematical and General · 61

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Canonical transformations generated by shifts in nonlinear lattices

1993 · A.N. Leznov, A.B. Shabat, et al. · Physics Letters A · 58

Towards classification of -dimensional integrable equations. Integrability conditions I

1998 · A V Mikhailov, R I Yamilov · Journal of Physics A Mathematical and General · 53

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Generalized symmetry integrability test for discrete equations on the square lattice

2011 · D Levi, R I Yamilov · Journal of Physics A Mathematical and Theoretical · 50

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Симметрийный подход к проблеме интегрируемости

2000 · Всеволод Эдуардович Адлер, Алексей Борисович Шабат, et al. · Теоретическая и математическая физика · 42

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Lattice representations of integrable systems

1988 · A.B. Shabat, R.I. Yamilov · Physics Letters A · 40

The multi-field Schrödinger lattices

1991 · S.I. Svinolupov, R.I. Yamilov · Physics Letters A · 36

Invertible changes of variables generated by Bäcklund transformations

1990 · R. I. Yamilov · Theoretical and Mathematical Physics · 30

Classification of five-point differential-difference equations

2017 · R N Garifullin, R I Yamilov, et al. · Journal of Physics A Mathematical and Theoretical · 28

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Discrete equation on a square lattice with a nonstandard structure of generalized symmetries

2014 · R. N. Garifullin, A. V. Mikhailov, et al. · Theoretical and Mathematical Physics · 28

Classification of five-point differential–difference equations II

2018 · R N Garifullin, R I Yamilov, et al. · Journal of Physics A Mathematical and Theoretical · 24

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Lie point symmetries of differential–difference equations

2010 · D Levi, P Winternitz, et al. · Journal of Physics A Mathematical and Theoretical · 23

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Integrable discrete nonautonomous quad-equations as Bäcklund auto-transformations for known Volterra and Toda type semidiscrete equations

2015 · Rustem N Garifullin, Ravil I Yamilov · Journal of Physics Conference Series · 21

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Continuous Symmetries and Integrability of Discrete Equations

2023 · Decio Levi, Pavel Winternitz, et al. · CRM monograph series · 20

Darboux integrability of trapezoidal H 4 and H 4 families of lattice equations I: first integrals

2017 · G Gubbiotti, R I Yamilov · Journal of Physics A Mathematical and Theoretical · 17

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Integrability Conditions for n and t Dependent Dynamical Lattice Equations

2004 · R. Yamilov, D. Levi · Journal of Nonlinear Mathematical Physics · 16

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Works count: 63

Citation count: 1,862

H-index: 21

I10-index: 32