Edit Profile (opens in new tab) Nikitin, Anatoly Glebovich Co-Author Distance Author ID: nikitin.anatoly-g Published as: Nikitin, A. G.; Nikitin, Anatoly G.; Nikitin, Anatoly; Nikitin, A.; Nikitin, Anatolia G.; Nikitin, Anatolii G.; Nikitin, Anatolii; Nikitin, Anatolij more...less Homepage: https://www.imath.kiev.ua/~nikitin/ External Links: MGP · Google Scholar · Math-Net.Ru Documents Indexed: 140 Publications since 1976, including 4 Books and 10 Additional arXiv Preprints 11 Contributions as Editor Co-Authors: 42 Co-Authors with 100 Joint Publications 1,135 Co-Co-Authors all top 5 Co-Authors 50 single-authored 17 Fushchych, Vil’gel’m Illich 13 Niederle, Jiri 11 Nefedov, Nikolaĭ Nikolaevich 10 Debergh, Nathalie 9 Beckers, Jules 9 Boyko, Vyacheslav M. 8 Popovych, Roman O. 6 Butuzov, Valentin Fëdorovich 4 Galkin, Alexander V. 3 Braginets, Oksana 3 Jegorchenko, I. A. 3 Moshinsky, Marcos 3 Prilipko, A. I. 3 Sharma, Anju 3 Smirnov, Yu. F. 3 Zasadko, T. M. 2 Barannyk, Tetyana A. 2 Karadzhov, Yuri 2 Messina, Antonino 2 Militello, Benedetto 2 Petrov, A. P. 2 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 Shkil, Mykola 2 Tretynyk, V. V. 2 Vasil’eva, Adelaida Borisovna 2 Wiltshire, Ronald J. 2 Yuryk, Ivan I. 1 Andrushkiw, Roman I. 1 Damianou, Pantelis Andrea 1 de Montigny, Marc 1 Ivanova, Nataliya M. 1 Lopatin, Oleksiĭ Konstyantynovych 1 Mytropol’skyĭ, Yuriĭ Oleksiĭovych 1 Nikulin, E. I. 1 Onufriĭchuk, S. P. 1 Onufrijchuk, S. P. 1 Parasyuk, Ostap Stepanovych 1 Petrova, M. A. 1 Recke, Lutz 1 Samoĭlenko, Valeriĭ Grygorovych 1 Sophocleous, Christodoulos 1 Urazgil’dina, T. A. 1 Zeylikovich, I. all top 5 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 all top 5 Fields 79 Quantum theory (81-XX) 74 Partial differential equations (35-XX) 24 Global analysis, analysis on manifolds (58-XX) 21 Topological groups, Lie groups (22-XX) 12 Nonassociative rings and algebras (17-XX) 11 General and overarching topics; collections (00-XX) 9 Integral equations (45-XX) 8 Dynamical systems and ergodic theory (37-XX) 6 Ordinary differential equations (34-XX) 6 Optics, electromagnetic theory (78-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 1 Category theory; homological algebra (18-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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. 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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 all top 5 Cited in 31 Fields 132 Partial differential equations (35-XX) 115 Quantum theory (81-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Mechanics of particles and systems (70-XX) 24 Relativity and gravitational theory (83-XX) 22 Dynamical systems and ergodic theory (37-XX) 20 Nonassociative rings and algebras (17-XX) 16 Topological groups, Lie groups (22-XX) 14 Ordinary differential equations (34-XX) 13 Optics, electromagnetic theory (78-XX) 11 Integral equations (45-XX) 11 Differential geometry (53-XX) 10 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 7 Fluid mechanics (76-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Computer science (68-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Geometry (51-XX) Citations by Year