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Nikitin, Anatoly Glebovich

Author ID: nikitin.anatoly-g Recent zbMATH articles by "Nikitin, Anatoly Glebovich"
Published as: Nikitin, A. G.; Nikitin, Anatoly G.; Nikitin, Anatoly; Nikitin, A.; Nikitin, Anatolia G.; Nikitin, Anatolii G.; Nikitin, Anatolii; Nikitin, Anatolij
Homepage: https://www.imath.kiev.ua/~nikitin/
External Links: MGP · Google Scholar · Math-Net.Ru
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Serials

15 Journal of Physics A: Mathematical and General
14 Journal of Physics A: Mathematical and Theoretical
9 Journal of Mathematical Physics
5 Ukrainian Mathematical Journal
4 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
4 Differential Equations
4 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
3 Ukraïns’kyĭ Matematychnyĭ Zhurnal
3 Computational Mathematics and Mathematical Physics
3 Journal of Nonlinear Mathematical Physics
3 Differential Equations
3 Revista Mexicana Física
2 Modern Physics Letters A
2 International Journal of Modern Physics A
2 Journal of Mathematical Analysis and Applications
2 Theoretical and Mathematical Physics
2 Fortschritte der Physik
2 Differentsial’nye Uravneniya
2 Soviet Physics. Doklady
2 Matematicheskoe Modelirovanie
1 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
1 European Journal of Physics
1 Helvetica Physica Acta
1 International Journal of Theoretical Physics
1 Letters in Mathematical Physics
1 Teoreticheskaya i Matematicheskaya Fizika
1 Hadronic Journal
1 Moscow University Computational Mathematics and Cybernetics
1 U.S.S.R. Computational Mathematics and Mathematical Physics
1 Nuclear Physics. B. Proceedings Supplements
1 International Journal of Modern Physics D
1 Russian Journal of Mathematical Physics
1 Visnyk. Matematyka. Mekhanika. Kyïvs’kyĭ Universytet Imeni Tarasa Shevchenka
1 Communications in Nonlinear Science and Numerical Simulation
1 Nonlinear Boundary Value Problems
1 Czechoslovak Journal of Physics
1 Central European Journal of Mathematics
1 Journal of Mathematical Physics, Analysis, Geometry
1 Mathematics and Its Applications. Soviet Series
1 Ukraïns’kyĭ Matematychnyĭ Visnyk

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 544 times in 269 Documents Cited by Year
Symmetries of equations of quantum mechanics. Transl. from the Russian. Zbl 0863.35001
Fushchich, W. I.; Nikitin, A. G.
31
1994
Group classification of nonlinear Schrödinger equations. Zbl 0993.58020
Nikitin, A. G.; Popovych, R. O.
30
2001
Generalized Killing tensors of arbitrary rank and order. Zbl 0831.53015
Nikitin, A. G.
16
1991
Superintegrable systems with position dependent mass. Zbl 1311.81119
Nikitin, A. G.; Zasadko, T. M.
16
2015
The symmetry of equations of quantum mechanics. (Симметрия уравнений квантовой механики.) Zbl 0702.35216
Fushchich, V. I.; Nikitin, A. G.
15
1990
Solitary wave and other solutions for nonlinear heat equations. Zbl 1116.35035
Nikitin, Anatoly G.; Barannyk, Tetyana A.
15
2004
Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. I: Generalized Ginzburg-Landau equations. Zbl 1105.35050
Nikitin, A. G.
15
2006
Symmetries of Maxwell’s equations. Transl. from the Russian by John R. Schulenberger. Zbl 0644.35004
Fushchich, V. I.; Nikitin, A. G.
13
1987
Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation. Zbl 0890.35143
Fushchych, W. I.; Nikitin, A. G.
13
1997
Superintegrable and shape invariant systems with position dependent mass. Zbl 1325.81080
Nikitin, A. G.
13
2015
On the new invariance algebras and superalgebras of relativistic wave equations. Zbl 0632.35071
Fushchich, W. I.; Nikitin, A. G.
12
1987
The symmetry of Maxwell equations. (Simmetriya uravnenij Maksvella). Zbl 0531.35003
Fushchich, V. I.; Nikitin, A. G.
12
1983
Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses. Zbl 1370.81061
Nikitin, A. G.
12
2017
Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. II: Generalized Turing systems. Zbl 1128.35054
Nikitin, A. G.
11
2007
Systems of reaction diffusion equations and their symmetry properties. Zbl 1053.35067
Nikitin, A. G.; Wiltshire, R. J.
11
2001
Matrix superpotentials and superintegrable systems for arbitrary spin. Zbl 1246.81051
Nikitin, A. G.
11
2012
Laplace-Runge-Lenz vector for arbitrary spin. Zbl 1285.81033
Nikitin, A. G.
11
2013
Matrix superpotentials. Zbl 1221.81087
Nikitin, Anatoly G.; Karadzhov, Yuri
10
2011
Symmetries of systems of nonlinear reaction-diffusion equations. Zbl 1053.35066
Nikitin, A. G.; Wiltshire, R. J.
10
2000
On exact Foldy-Wouthuysen transformation. Zbl 0927.35123
Nikitin, A. G.
10
1998
Galilei invariant theories. I: Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions. Zbl 1101.81063
De Montigny, M.; Niederle, J.; Nikitin, A. G.
10
2006
Higher-order symmetry operators for Schrödinger equation. Zbl 1071.35107
Nikitin, A. G.
10
2004
New exactly solvable systems with Fock symmetry. Zbl 1341.81047
Nikitin, A. G.
10
2012
Extended supersymmetries for the Schrödinger-Pauli equation. Zbl 0960.81029
Niederle, J.; Nikitin, A. G.
9
1999
Enhanced classification of matrix superpotentials. Zbl 1231.81044
Nikitin, Anatoly G.; Karadzhov, Yuri
9
2011
Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles. Zbl 1278.81069
Nikitin, A. G.
9
2012
The Cauchy problem for a singularly perturbed integro-differential Fredholm equation. Zbl 1210.45002
Nefedov, N. N.; Nikitin, A. G.
8
2007
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix. Zbl 1128.35055
Nikitin, A. G.
8
2007
Laplace-Runge-Lenz vector with spin in any dimension. Zbl 1298.81077
Nikitin, A. G.
7
2014
Group classification of Schrödinger equations with position dependent mass. Zbl 1349.81089
Nikitin, A. G.; Zasadko, T. M.
7
2016
Superintegrable systems with spin invariant with respect to the rotation group. Zbl 1270.81108
Nikitin, A. G.
7
2013
Algebras of discrete symmetries and supersymmetries for the Schrödinger-Pauli equation. Zbl 0924.35119
Nikitin, Anatoly
6
1999
The complete set of symmetry operators of the Schrödinger equation. Zbl 0770.35057
Nikitin, A. G.
6
1991
The complete sets of conservation laws for the electromagnetic field. Zbl 0753.35109
Fushchich, V. I.; Nikitin, A. G.
6
1992
Reducibility of supersymmetric quantum mechanics. Zbl 0887.46049
Beckers, Jules; Debergh, Nathalie; Nikitin, Anatolia G.
6
1997
Reduction of the representations of the generalised Poincaré algebra by the Galilei algebra. Zbl 0433.22015
Fushchich, V. I.; Nikitin, A. G.
6
1980
The maximal “kinematical” invariance group for an arbitrary potential revised. Zbl 1428.35018
Nikitin, A. G.
6
2018
Symmetries of Schrödinger equation with scalar and vector potentials. Zbl 1519.81189
Nikitin, A. G.
6
2020
Invariant solutions for equations of axion electrodynamics. Zbl 1264.35243
Nikitin, A. G.; Kuriksha, Oksana
6
2012
On parasupersymmetries and relativistic descriptions for spin one particles. II: The interacting context with (electro)magnetic fields. Zbl 1064.81513
Beckers, J.; Debergh, N.; Nikitin, A. G.
5
1995
The asymptotic method of differential inequalities for singularly perturbed integro-differential equations. Zbl 0991.45004
Nefedov, N. N.; Nikitin, A. G.
5
2000
Group classification of systems of nonlinear reaction-diffusion equations. Zbl 1211.35147
Nikitin, Anatoly G.
5
2005
More on symmetries of the Schrödinger equation. Zbl 0759.35040
Beckers, J.; Debergh, N.; Nikitin, A. G.
5
1991
Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case. Zbl 1206.45013
Nefedov, N. N.; Nikitin, A. G.
4
2006
On parasupersymmetries and relativistic descriptions for spin one particles. I: The free context. Zbl 1064.81514
Beckers, J.; Debergh, N.; Nikitin, A. G.
4
1995
More on supersymmetries of the Schrödinger equation. Zbl 1021.81514
Beckers, J.; Debergh, N.; Nikitin, A. G.
4
1992
More on parasupersymmetries of the Schrödinger equation. Zbl 1015.81509
Beckers, J.; Debergh, N.; Nikitin, A. G.
4
1993
Generalized Killing tensors and the symmetry of the Klein-Gordon-Fock equation. Zbl 0736.35091
Nikitin, A. G.; Prilipko, A. I.
4
1990
Higher symmetries of the Schrödinger equation. Zbl 0779.35098
Nikitin, A. G.; Onufriĭchuk, S. P.; Fushchich, V. I.
4
1992
Conformal invariance of relativistic equations for arbitrary spin particles. Zbl 0414.22025
Fushchich, V. I.; Nikitin, A. G.
4
1978
Involutive symmetries, supersymmetries and reductions of the Dirac equation. Zbl 0991.81035
Niederle, J.; Nikitin, A. G.
4
1997
Symmetries of the Schrödinger-Pauli equation for neutral particles. Zbl 1472.81084
Nikitin, A. G.
4
2021
Non-Lie and discrete symmetries of the Dirac equation. Zbl 0991.81037
Niederle, Jiri; Nikitin, Anatolii
3
1997
Solitary wave solutions for heat equations. Zbl 1094.35003
Barannyk, T. A.; Nikitin, A. G.
3
2004
Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor. Zbl 1249.35159
Nefedov, N. N.; Nikitin, A. G.
3
2011
Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations. Zbl 1029.45008
Nefedov, N. N.; Nikitin, A. G.
3
2001
The initial boundary value problem for a nonlocal singularly perturbed reaction-diffusion equation. Zbl 1274.35193
Nefedov, N. N.; Nikitin, A. G.
3
2012
Exact solvability of PDM systems with extended Lie symmetries. Zbl 1438.81017
Nikitin, A. G.
3
2019
Symmetries of Schrödinger-Pauli equations for charged particles and quasirelativistic Schrödinger equations. Zbl 1505.81039
Nikitin, A. G.
3
2022
Lie extended symmetries and relativistic particles. Zbl 0771.35071
Beckers, J.; Debergh, N.; Nikitin, A. G.
2
1992
Group analysis of equations of axion electrodynamics. Zbl 1234.35019
Nikitin, Anatoly G.; Kuriksha, Oksana
2
2011
Moving fronts in integro-parabolic reaction-advection-diffusion equations. Zbl 1269.45008
Nefedov, N. N.; Nikitin, A. G.; Petrova, M. A.; Recke, L.
2
2011
Extended SUSY with central charges in quantum mechanics. Zbl 1040.81027
Niederle, Jiri; Nikitin, Anatolii G.
2
2002
Galilean equations for massless fields. Zbl 1178.81264
Niederle, J.; Nikitin, A. G.
2
2009
A complete set of symmetry operators of the Dirac equation. Zbl 0743.35056
Nikitin, A. G.
2
1991
A complete set of symmetry operators of the Dirac equation. Zbl 0786.35109
Nikitin, A. G.
2
1991
Galilei-invariant equations for massive fields. Zbl 1182.81044
Niederle, J.; Nikitin, A. G.
2
2009
Nonstandard Dirac equations for nonstandard spinors. Zbl 1310.81086
Nikitin, A. G.
2
2014
Supersymmetries in Schrödinger-Pauli equations and in Schrödinger equations with position dependent mass. Zbl 1425.81031
Nikitin, Anatoly G.
2
2019
Superintegrable and scale-invariant quantum systems with position-dependent Mass. Zbl 1515.81093
Nikitin, A. G.
2
2022
Supermultiplets and relativistic problems. II: The Bhabha equation of arbitrary spin and its properties. Zbl 1085.81503
Moshinsky, M.; Nikitin, A. G.; Sharma, A.; Smirnov, Yu. F.
1
1998
Non-Lie symmetries and supersymmetries. Zbl 0936.35141
Nikitin, A.
1
1995
Three-mode two-Boson Jaynes-Cummings model in trapped ions. Zbl 1105.81311
Militello, Benedetto; Galkin, Alexander; Nikitin, Anatoly; Messina, Antonino
1
2007
Extended Poincaré parasuperalgebra with central charges and invariant wave equations. Zbl 1099.81509
Nikitin, A. G.; Galkin, A. V.
1
2000
On the principal eigenfunction of a singularly perturbed Sturm-Liouville problem. Zbl 0977.34020
Nikitin, A. G.
1
1999
The relativistic Coulomb problem for particles with arbitrary half-integer spin. Zbl 1097.81036
Niederle, J.; Nikitin, A. G.
1
2006
Singularly disturbed elliptic boundary value problem in a rectangle in the critical case. Zbl 0589.35039
Butuzov, V. F.; Nikitin, A. G.
1
1984
New symmetry and conservation laws of the equations for elastic waves. Zbl 0696.73003
Fushchich, V. I.; Nikitin, A. G.
1
1989
Solution of the defining equations for the symmetry operator of an arbitrary finite order. Zbl 0825.35005
Nikitin, A. G.; Prilipko, A. I.
1
1989
Invariance group of quasirelativistic equation of motion. Zbl 0393.22015
Fushchich, V. I.; Nikitin, A. G.
1
1978
On the new invariance algebras of relativistic equations for massless particles. Zbl 0409.22017
Fushchich, V. I.; Nikitin, A. G.
1
1979
Reduction of irreducible unitary representations of generalized Poincaré groups with respect to their subgroups. Zbl 0412.22013
Nikitin, A. G.; Fushchich, V. I.; Yurik, I. I.
1
1976
On a hidden dynamical \(\text{SU}(3)\)-symmetry in parasupersymmetric quantum mechanics. Zbl 0797.22010
Beckers, J.; Debergh, N.; Nikitin, A. G.
1
1993
Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups. Zbl 07738174
Nikitin, A. G.
1
2023
Superintegrable and supersymmetric systems of Schrödinger equations. Zbl 1291.35250
Nikitin, Anatoly G.
1
2013
Parametric resonance of two coupled spring oscillators driven by a periodic force combined with periodic noise. Zbl 07684251
Zeylikovich, I.; Nikitin, A.
1
2020
The Cauchy problem for a singularly perturbed Volterra integro-differential equation. Zbl 07811605
Nefëdov, N. N.; Nikitin, A. G.; Urazgil’dina, T. A.
1
2006
Superintegrable quantum mechanical systems with position dependent masses invariant with respect to two parametric Lie groups. Zbl 07738174
Nikitin, A. G.
1
2023
Symmetries of Schrödinger-Pauli equations for charged particles and quasirelativistic Schrödinger equations. Zbl 1505.81039
Nikitin, A. G.
3
2022
Superintegrable and scale-invariant quantum systems with position-dependent Mass. Zbl 1515.81093
Nikitin, A. G.
2
2022
Symmetries of the Schrödinger-Pauli equation for neutral particles. Zbl 1472.81084
Nikitin, A. G.
4
2021
Symmetries of Schrödinger equation with scalar and vector potentials. Zbl 1519.81189
Nikitin, A. G.
6
2020
Parametric resonance of two coupled spring oscillators driven by a periodic force combined with periodic noise. Zbl 07684251
Zeylikovich, I.; Nikitin, A.
1
2020
Exact solvability of PDM systems with extended Lie symmetries. Zbl 1438.81017
Nikitin, A. G.
3
2019
Supersymmetries in Schrödinger-Pauli equations and in Schrödinger equations with position dependent mass. Zbl 1425.81031
Nikitin, Anatoly G.
2
2019
The maximal “kinematical” invariance group for an arbitrary potential revised. Zbl 1428.35018
Nikitin, A. G.
6
2018
Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses. Zbl 1370.81061
Nikitin, A. G.
12
2017
Group classification of Schrödinger equations with position dependent mass. Zbl 1349.81089
Nikitin, A. G.; Zasadko, T. M.
7
2016
Superintegrable systems with position dependent mass. Zbl 1311.81119
Nikitin, A. G.; Zasadko, T. M.
16
2015
Superintegrable and shape invariant systems with position dependent mass. Zbl 1325.81080
Nikitin, A. G.
13
2015
Laplace-Runge-Lenz vector with spin in any dimension. Zbl 1298.81077
Nikitin, A. G.
7
2014
Nonstandard Dirac equations for nonstandard spinors. Zbl 1310.81086
Nikitin, A. G.
2
2014
Laplace-Runge-Lenz vector for arbitrary spin. Zbl 1285.81033
Nikitin, A. G.
11
2013
Superintegrable systems with spin invariant with respect to the rotation group. Zbl 1270.81108
Nikitin, A. G.
7
2013
Superintegrable and supersymmetric systems of Schrödinger equations. Zbl 1291.35250
Nikitin, Anatoly G.
1
2013
Matrix superpotentials and superintegrable systems for arbitrary spin. Zbl 1246.81051
Nikitin, A. G.
11
2012
New exactly solvable systems with Fock symmetry. Zbl 1341.81047
Nikitin, A. G.
10
2012
Integrability and supersymmetry of Schrödinger-Pauli equations for neutral particles. Zbl 1278.81069
Nikitin, A. G.
9
2012
Invariant solutions for equations of axion electrodynamics. Zbl 1264.35243
Nikitin, A. G.; Kuriksha, Oksana
6
2012
The initial boundary value problem for a nonlocal singularly perturbed reaction-diffusion equation. Zbl 1274.35193
Nefedov, N. N.; Nikitin, A. G.
3
2012
Matrix superpotentials. Zbl 1221.81087
Nikitin, Anatoly G.; Karadzhov, Yuri
10
2011
Enhanced classification of matrix superpotentials. Zbl 1231.81044
Nikitin, Anatoly G.; Karadzhov, Yuri
9
2011
Boundary and internal layers in the reaction-diffusion problem with a nonlocal inhibitor. Zbl 1249.35159
Nefedov, N. N.; Nikitin, A. G.
3
2011
Group analysis of equations of axion electrodynamics. Zbl 1234.35019
Nikitin, Anatoly G.; Kuriksha, Oksana
2
2011
Moving fronts in integro-parabolic reaction-advection-diffusion equations. Zbl 1269.45008
Nefedov, N. N.; Nikitin, A. G.; Petrova, M. A.; Recke, L.
2
2011
Galilean equations for massless fields. Zbl 1178.81264
Niederle, J.; Nikitin, A. G.
2
2009
Galilei-invariant equations for massive fields. Zbl 1182.81044
Niederle, J.; Nikitin, A. G.
2
2009
Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. II: Generalized Turing systems. Zbl 1128.35054
Nikitin, A. G.
11
2007
The Cauchy problem for a singularly perturbed integro-differential Fredholm equation. Zbl 1210.45002
Nefedov, N. N.; Nikitin, A. G.
8
2007
Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix. Zbl 1128.35055
Nikitin, A. G.
8
2007
Three-mode two-Boson Jaynes-Cummings model in trapped ions. Zbl 1105.81311
Militello, Benedetto; Galkin, Alexander; Nikitin, Anatoly; Messina, Antonino
1
2007
Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. I: Generalized Ginzburg-Landau equations. Zbl 1105.35050
Nikitin, A. G.
15
2006
Galilei invariant theories. I: Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions. Zbl 1101.81063
De Montigny, M.; Niederle, J.; Nikitin, A. G.
10
2006
Method of differential inequalities for step-like contrast structures in singularly perturbed integro-differential equations in the spatially two-dimensional case. Zbl 1206.45013
Nefedov, N. N.; Nikitin, A. G.
4
2006
The relativistic Coulomb problem for particles with arbitrary half-integer spin. Zbl 1097.81036
Niederle, J.; Nikitin, A. G.
1
2006
The Cauchy problem for a singularly perturbed Volterra integro-differential equation. Zbl 07811605
Nefëdov, N. N.; Nikitin, A. G.; Urazgil’dina, T. A.
1
2006
Group classification of systems of nonlinear reaction-diffusion equations. Zbl 1211.35147
Nikitin, Anatoly G.
5
2005
Solitary wave and other solutions for nonlinear heat equations. Zbl 1116.35035
Nikitin, Anatoly G.; Barannyk, Tetyana A.
15
2004
Higher-order symmetry operators for Schrödinger equation. Zbl 1071.35107
Nikitin, A. G.
10
2004
Solitary wave solutions for heat equations. Zbl 1094.35003
Barannyk, T. A.; Nikitin, A. G.
3
2004
Extended SUSY with central charges in quantum mechanics. Zbl 1040.81027
Niederle, Jiri; Nikitin, Anatolii G.
2
2002
Group classification of nonlinear Schrödinger equations. Zbl 0993.58020
Nikitin, A. G.; Popovych, R. O.
30
2001
Systems of reaction diffusion equations and their symmetry properties. Zbl 1053.35067
Nikitin, A. G.; Wiltshire, R. J.
11
2001
Development of the asymptotic method of differential inequalities for step-type solutions of singularly perturbed integro-differential equations. Zbl 1029.45008
Nefedov, N. N.; Nikitin, A. G.
3
2001
Symmetries of systems of nonlinear reaction-diffusion equations. Zbl 1053.35066
Nikitin, A. G.; Wiltshire, R. J.
10
2000
The asymptotic method of differential inequalities for singularly perturbed integro-differential equations. Zbl 0991.45004
Nefedov, N. N.; Nikitin, A. G.
5
2000
Extended Poincaré parasuperalgebra with central charges and invariant wave equations. Zbl 1099.81509
Nikitin, A. G.; Galkin, A. V.
1
2000
Extended supersymmetries for the Schrödinger-Pauli equation. Zbl 0960.81029
Niederle, J.; Nikitin, A. G.
9
1999
Algebras of discrete symmetries and supersymmetries for the Schrödinger-Pauli equation. Zbl 0924.35119
Nikitin, Anatoly
6
1999
On the principal eigenfunction of a singularly perturbed Sturm-Liouville problem. Zbl 0977.34020
Nikitin, A. G.
1
1999
On exact Foldy-Wouthuysen transformation. Zbl 0927.35123
Nikitin, A. G.
10
1998
Supermultiplets and relativistic problems. II: The Bhabha equation of arbitrary spin and its properties. Zbl 1085.81503
Moshinsky, M.; Nikitin, A. G.; Sharma, A.; Smirnov, Yu. F.
1
1998
Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation. Zbl 0890.35143
Fushchych, W. I.; Nikitin, A. G.
13
1997
Reducibility of supersymmetric quantum mechanics. Zbl 0887.46049
Beckers, Jules; Debergh, Nathalie; Nikitin, Anatolia G.
6
1997
Involutive symmetries, supersymmetries and reductions of the Dirac equation. Zbl 0991.81035
Niederle, J.; Nikitin, A. G.
4
1997
Non-Lie and discrete symmetries of the Dirac equation. Zbl 0991.81037
Niederle, Jiri; Nikitin, Anatolii
3
1997
On parasupersymmetries and relativistic descriptions for spin one particles. II: The interacting context with (electro)magnetic fields. Zbl 1064.81513
Beckers, J.; Debergh, N.; Nikitin, A. G.
5
1995
On parasupersymmetries and relativistic descriptions for spin one particles. I: The free context. Zbl 1064.81514
Beckers, J.; Debergh, N.; Nikitin, A. G.
4
1995
Non-Lie symmetries and supersymmetries. Zbl 0936.35141
Nikitin, A.
1
1995
Symmetries of equations of quantum mechanics. Transl. from the Russian. Zbl 0863.35001
Fushchich, W. I.; Nikitin, A. G.
31
1994
More on parasupersymmetries of the Schrödinger equation. Zbl 1015.81509
Beckers, J.; Debergh, N.; Nikitin, A. G.
4
1993
On a hidden dynamical \(\text{SU}(3)\)-symmetry in parasupersymmetric quantum mechanics. Zbl 0797.22010
Beckers, J.; Debergh, N.; Nikitin, A. G.
1
1993
The complete sets of conservation laws for the electromagnetic field. Zbl 0753.35109
Fushchich, V. I.; Nikitin, A. G.
6
1992
More on supersymmetries of the Schrödinger equation. Zbl 1021.81514
Beckers, J.; Debergh, N.; Nikitin, A. G.
4
1992
Higher symmetries of the Schrödinger equation. Zbl 0779.35098
Nikitin, A. G.; Onufriĭchuk, S. P.; Fushchich, V. I.
4
1992
Lie extended symmetries and relativistic particles. Zbl 0771.35071
Beckers, J.; Debergh, N.; Nikitin, A. G.
2
1992
Generalized Killing tensors of arbitrary rank and order. Zbl 0831.53015
Nikitin, A. G.
16
1991
The complete set of symmetry operators of the Schrödinger equation. Zbl 0770.35057
Nikitin, A. G.
6
1991
More on symmetries of the Schrödinger equation. Zbl 0759.35040
Beckers, J.; Debergh, N.; Nikitin, A. G.
5
1991
A complete set of symmetry operators of the Dirac equation. Zbl 0743.35056
Nikitin, A. G.
2
1991
A complete set of symmetry operators of the Dirac equation. Zbl 0786.35109
Nikitin, A. G.
2
1991
The symmetry of equations of quantum mechanics. (Симметрия уравнений квантовой механики.) Zbl 0702.35216
Fushchich, V. I.; Nikitin, A. G.
15
1990
Generalized Killing tensors and the symmetry of the Klein-Gordon-Fock equation. Zbl 0736.35091
Nikitin, A. G.; Prilipko, A. I.
4
1990
New symmetry and conservation laws of the equations for elastic waves. Zbl 0696.73003
Fushchich, V. I.; Nikitin, A. G.
1
1989
Solution of the defining equations for the symmetry operator of an arbitrary finite order. Zbl 0825.35005
Nikitin, A. G.; Prilipko, A. I.
1
1989
Symmetries of Maxwell’s equations. Transl. from the Russian by John R. Schulenberger. Zbl 0644.35004
Fushchich, V. I.; Nikitin, A. G.
13
1987
On the new invariance algebras and superalgebras of relativistic wave equations. Zbl 0632.35071
Fushchich, W. I.; Nikitin, A. G.
12
1987
Singularly disturbed elliptic boundary value problem in a rectangle in the critical case. Zbl 0589.35039
Butuzov, V. F.; Nikitin, A. G.
1
1984
The symmetry of Maxwell equations. (Simmetriya uravnenij Maksvella). Zbl 0531.35003
Fushchich, V. I.; Nikitin, A. G.
12
1983
Reduction of the representations of the generalised Poincaré algebra by the Galilei algebra. Zbl 0433.22015
Fushchich, V. I.; Nikitin, A. G.
6
1980
On the new invariance algebras of relativistic equations for massless particles. Zbl 0409.22017
Fushchich, V. I.; Nikitin, A. G.
1
1979
Conformal invariance of relativistic equations for arbitrary spin particles. Zbl 0414.22025
Fushchich, V. I.; Nikitin, A. G.
4
1978
Invariance group of quasirelativistic equation of motion. Zbl 0393.22015
Fushchich, V. I.; Nikitin, A. G.
1
1978
Reduction of irreducible unitary representations of generalized Poincaré groups with respect to their subgroups. Zbl 0412.22013
Nikitin, A. G.; Fushchich, V. I.; Yurik, I. I.
1
1976
all top 5

Cited by 315 Authors

26 Nikitin, Anatoly Glebovich
22 Popovych, Roman O.
13 Fushchych, Vil’gel’m Illich
11 Sophocleous, Christodoulos
9 Vaneeva, Olena O.
9 Winternitz, Pavel
8 Bihlo, Alexander
7 Huang, Dingjiang
6 Ivanova, Nataliya M.
6 Marquette, Ian
6 Zhdanov, Renat Z.
5 Barannyk, Tetyana A.
5 Fedorchuk, Vasyl M.
5 Opanasenko, Stanislav
5 Yurduşen, Ismet
4 Fedorchuk, Volodymyr I.
4 Fry, John L.
4 Musielak, Zdzislaw E.
4 Serov, Mykola I.
4 Skvortsov, Evgeny D.
3 Ahmad, Jamshad
3 Barannyk, Anatoliy F.
3 Bekaert, Xavier
3 Cherniha, Roman M.
3 de Montigny, Marc
3 Escobar-Ruiz, Mauricio A.
3 Hassan, Qazi Mahmood ul
3 Korobeinikov, Andrei
3 Nefedov, Nikolaĭ Nikolaevich
3 Okniński, Andrzej
3 Rañada, Manuel F.
3 Rassokha, Inna V.
3 Shakeel, Muhammad
3 Sharapov, Alexey A.
3 Shirokov, Igor’ Viktorovich
3 Sobolev, Vladimir A.
3 Yuryk, Ivan I.
3 Zhou, Shuigeng
2 Anco, Stephen C.
2 Archibasov, A. A.
2 Basile, Thomas
2 Bobodzhanov, Abdukhafiz Abdurasulovich
2 Boyko, Vyacheslav M.
2 Bruce, Andrew James
2 Clarkson, Peter A.
2 Davydovych, Vasyl V.
2 de Melo, G. R.
2 Ducomet, Bernard
2 Egorchenko, I. A.
2 Eleonskij, V. M.
2 Eshraghi, Homayoon
2 Geracie, Michael
2 Gomis, Joaquim
2 Grigoriev, Maxim
2 Ilderton, Anton
2 Kaparulin, Dmitry S.
2 Karadzhov, Yu. A.
2 Kontogiorgis, Stavros
2 Krivsky, I. Yu.
2 Kulagin, N. E.
2 Kuzenko, Sergei M.
2 Lee, Cheng-Yang
2 Marchesiello, Antonella
2 Messina, Antonino
2 Ni, Mingkang
2 Niederle, Jiri
2 Ospedal, L. P. R.
2 Polyanin, Andrei Dmitrievich
2 Prabhu, Kartik
2 Qu, Changzheng
2 Raptakis, Emmanouil S. N.
2 Rausch de Traubenberg, Michel
2 Roberts, Matthew M.
2 Rosas-Ortiz, Oscar
2 Safonov, Valeriĭ Fedorovich
2 Sajedi, Masoumeh
2 Shapovalov, Aleksandr V.
2 Shtelen, Vladimir M.
2 Simulik, V. M.
2 Šnobl, Libor
2 Talalov, Sergeĭ Vladimirovich
2 Tanaka, Toshiaki
2 Tsyfra, Ivan M.
2 Tuncer, O. Oğulcan
2 Yang, Qian
2 Zasadko, T. M.
2 Zhalij, Alexander
1 Abu Omar, Mohammed
1 Adad, M.
1 Al-Rubaee, Radwan Ali A.
1 Al-Shara’, Safwan
1 Aleksandrova, I. A.
1 Aleynikov, Dmitriy V.
1 Alquran, Marwan Taiseer
1 Andrianov, Alexander A.
1 Ansell, L.
1 Antoniou, Ioannis E.
1 Archibasov, Aleksei
1 Arrigo, Daniel J.
1 Awawdeh, Fadi
...and 215 more Authors
all top 5

Cited in 76 Serials

41 Journal of Mathematical Physics
22 Ukrainian Mathematical Journal
15 Journal of Mathematical Analysis and Applications
15 Journal of Physics A: Mathematical and Theoretical
11 Theoretical and Mathematical Physics
11 Journal of High Energy Physics
6 Acta Applicandae Mathematicae
6 Computational Mathematics and Mathematical Physics
5 Modern Physics Letters A
5 International Journal of Theoretical Physics
5 Journal of Mathematical Sciences (New York)
5 Abstract and Applied Analysis
5 Communications in Nonlinear Science and Numerical Simulation
5 Advances in Mathematical Physics
4 International Journal of Modern Physics A
4 Reports on Mathematical Physics
4 Physica D
4 Annals of Physics
4 Advances in Applied Clifford Algebras
3 Physics Letters. A
3 Physics Letters. B
3 Physics Reports
3 Chaos
3 Symmetry
2 Computers & Mathematics with Applications
2 Computer Physics Communications
2 Physica A
2 Journal of Geometry and Physics
2 Applied Mathematics and Computation
2 Studies in Applied Mathematics
2 Applied Mathematics Letters
2 International Journal of Modern Physics D
2 Russian Journal of Mathematical Physics
2 Computational and Applied Mathematics
2 Journal of Mathematical Chemistry
2 Doklady Mathematics
2 Nonlinear Dynamics
2 New Journal of Physics
2 Russian Physics Journal
2 Differential Equations
2 The European Physical Journal C. Particles and Fields
2 Advances in High Energy Physics
2 Mathematics
1 Classical and Quantum Gravity
1 European Journal of Physics
1 International Journal of Engineering Science
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Annales de l’Institut Fourier
1 Journal of Computational and Applied Mathematics
1 Journal of Differential Equations
1 Applied Numerical Mathematics
1 European Journal of Applied Mathematics
1 Journal of Physics A: Mathematical and General
1 Russian Mathematics
1 Open Systems & Information Dynamics
1 Wuhan University Journal of Natural Sciences (WUJNS)
1 Lobachevskii Journal of Mathematics
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Czechoslovak Journal of Physics
1 Journal of Nonlinear Mathematical Physics
1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences
1 Journal of Applied Mathematics
1 Doklady Natsional’noĭ Akademii Nauk Belarusi
1 Journal of Statistical Mechanics: Theory and Experiment
1 Foundations of Physics
1 Mathematical Biosciences and Engineering
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Journal of Geometric Mechanics
1 Proceedings of the International Geometry Center
1 Analysis and Mathematical Physics
1 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika
1 AIMS Mathematics

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