Nikitin, A. G. Symmetries of the Schrödinger-Pauli equation for neutral particles. (English) Zbl 1472.81084 J. Math. Phys. 62, No. 8, Article ID 083509, 16 p. (2021). MSC: 81Q05 81R25 81R05 81R15 22E70 PDFBibTeX XMLCite \textit{A. G. Nikitin}, J. Math. Phys. 62, No. 8, Article ID 083509, 16 p. (2021; Zbl 1472.81084) Full Text: DOI arXiv
Nikitin, A. G. Symmetries and supersymmetries of generalized Schrödinger equations. (English) Zbl 1488.35017 Zb. Pr. Inst. Mat. NAN Ukr. 17, No. 2, 200-282 (2020). MSC: 35A30 35J10 81R12 PDFBibTeX XMLCite \textit{A. G. Nikitin}, Zb. Pr. Inst. Mat. NAN Ukr. 17, No. 2, 200--282 (2020; Zbl 1488.35017) Full Text: arXiv
Nikitin, A. G. Superintegrable and shape invariant systems with position dependent mass. (English) Zbl 1325.81080 J. Phys. A, Math. Theor. 48, No. 33, Article ID 335201, 24 p. (2015). MSC: 81Q05 81R12 81U15 81Q80 PDFBibTeX XMLCite \textit{A. G. Nikitin}, J. Phys. A, Math. Theor. 48, No. 33, Article ID 335201, 24 p. (2015; Zbl 1325.81080) Full Text: DOI arXiv
Nikitin, A. G. Nonstandard Dirac equations for nonstandard spinors. (English) Zbl 1310.81086 Int. J. Mod. Phys. D 23, No. 14, Article ID 1444007, 15 p. (2014). MSC: 81R25 81Q05 35Q41 PDFBibTeX XMLCite \textit{A. G. Nikitin}, Int. J. Mod. Phys. D 23, No. 14, Article ID 1444007, 15 p. (2014; Zbl 1310.81086) Full Text: DOI arXiv
Niederle, J.; Nikitin, A. G. Galilei-invariant equations for massive fields. (English) Zbl 1182.81044 J. Phys. A, Math. Theor. 42, No. 24, Article ID 245209, 25 p. (2009). Reviewer: Jayme Vaz (Campinas) MSC: 81R20 81R05 22E70 81Q05 PDFBibTeX XMLCite \textit{J. Niederle} and \textit{A. G. Nikitin}, J. Phys. A, Math. Theor. 42, No. 24, Article ID 245209, 25 p. (2009; Zbl 1182.81044) Full Text: DOI arXiv
Nikitin, A. G. Group classification of systems of nonlinear reaction-diffusion equations with triangular diffusion matrix. (English) Zbl 1128.35055 Ukr. Mat. Zh. 59, No. 3, 395-411 (2007) and in Ukr. Math. J. 59, No. 3, 439-458 (2007). MSC: 35K57 58J70 35A30 PDFBibTeX XMLCite \textit{A. G. Nikitin}, Ukr. Mat. Zh. 59, No. 3, 395--411 (2007; Zbl 1128.35055) Full Text: DOI Link
Nikitin, A. G. Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. II: Generalized Turing systems. (English) Zbl 1128.35054 J. Math. Anal. Appl. 332, No. 1, 666-690 (2007). MSC: 35K57 58J70 35A30 35K40 PDFBibTeX XMLCite \textit{A. G. Nikitin}, J. Math. Anal. Appl. 332, No. 1, 666--690 (2007; Zbl 1128.35054) Full Text: DOI arXiv
Niederle, J.; Nikitin, A. G. Galilei invariant theories. III. Wave equations for massless fields. arXiv:0707.3386 Preprint, arXiv:0707.3386 [math-ph] (2007). MSC: 35A30 35Q55 58J70 81R05 BibTeX Cite \textit{J. Niederle} and \textit{A. G. Nikitin}, ``Galilei invariant theories. III. Wave equations for massless fields'', Preprint, arXiv:0707.3386 [math-ph] (2007) Full Text: arXiv
Niederle, J.; Nikitin, A. G. Galilei invariant theories. II. Wave equations for massive fields. arXiv:0707.3286 Preprint, arXiv:0707.3286 [math-ph] (2007). MSC: 35A30 35Q55 58J70 81R05 BibTeX Cite \textit{J. Niederle} and \textit{A. G. Nikitin}, ``Galilei invariant theories. II. Wave equations for massive fields'', Preprint, arXiv:0707.3286 [math-ph] (2007) Full Text: arXiv
Boyko, V. M. (ed.); Nikitin, A. G. (ed.); Popovych, R. O. (ed.) Symmetry and integrability of equations of mathematical physics. (Ukrainian, English, Russian. English summary) Zbl 1150.35001 Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 2, 400 p. (2006). Reviewer: I. A. Yehorchenko (Kyiv) MSC: 35-06 00B30 35A30 58J70 PDFBibTeX XMLCite \textit{V. M. Boyko} (ed.) et al., Zb. Pr. Inst. Mat. NAN Ukr. 3, No. 2, 400 p. (2006; Zbl 1150.35001) Full Text: Link
Nikitin, A. G. Group classification of systems of nonlinear reaction-diffusion equations with general diffusion matrix. I: Generalized Ginzburg-Landau equations. (English) Zbl 1105.35050 J. Math. Anal. Appl. 324, No. 1, 615-628 (2006). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35K57 58J70 35A30 35K40 PDFBibTeX XMLCite \textit{A. G. Nikitin}, J. Math. Anal. Appl. 324, No. 1, 615--628 (2006; Zbl 1105.35050) Full Text: DOI arXiv
Militello, B.; Nikitin, A.; Messina, A. Symmetries and supersymmetries in trapped ion Hamiltonian models. (English) Zbl 1093.81073 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 2. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3226-8). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(2), 569-573 (2004). Reviewer: M. O. Nesterenko (Kyïv) MSC: 81V80 81Q60 58J70 35Q40 PDFBibTeX XMLCite \textit{B. Militello} et al., in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 2. Kyïv: Institute of Mathematics of NAS of Ukraine. 569--573 (2004; Zbl 1093.81073)
Barannyk, T. A.; Nikitin, A. G. Solitary wave solutions for heat equations. (English) Zbl 1094.35003 Nikitin, A.G.(ed.) et al., Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23–29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-3225-X). Proceedings of the Institute of Mathematics of the National Academy of Sciences of Ukraine. Mathematics and its Applications. 50(1), 34-39 (2004). Reviewer: N. M. Ivanova (Kyïv) MSC: 35A30 58J70 35C05 35K55 35K40 PDFBibTeX XMLCite \textit{T. A. Barannyk} and \textit{A. G. Nikitin}, in: Proceedings of the fifth international conference on symmetry in nonlinear mathematical physics, Kyïv, Ukraine, June 23--29, 2003. Part 1. Kyïv: Institute of Mathematics of NAS of Ukraine. 34--39 (2004; Zbl 1094.35003)
Nikitin, A. G.; Popovych, R. O. Group classification of nonlinear Schrödinger equations. (English. Ukrainian original) Zbl 0993.58020 Ukr. Math. J. 53, No. 8, 1255-1266 (2001); translation from Ukr. Mat. Zh. 53, No. 8, 1053-1060 (2001). Reviewer: I.O.Parasyuk (Kyïv) MSC: 58J70 35Q55 PDFBibTeX XMLCite \textit{A. G. Nikitin} and \textit{R. O. Popovych}, Ukr. Mat. Zh. 53, No. 8, 1053--1060 (2001; Zbl 0993.58020); translation from Ukr. Mat. Zh. 53, No. 8, 1053--1060 (2001) Full Text: DOI arXiv
Nikitin, A. G.; Wiltshire, R. J. Systems of reaction diffusion equations and their symmetry properties. (English) Zbl 1053.35067 J. Math. Phys. 42, No. 4, 1666-1688 (2001). MSC: 35K57 35A30 58J70 PDFBibTeX XMLCite \textit{A. G. Nikitin} and \textit{R. J. Wiltshire}, J. Math. Phys. 42, No. 4, 1666--1688 (2001; Zbl 1053.35067) Full Text: DOI
Nikitin, A. G.; Wiltshire, R. J. Symmetries of systems of nonlinear reaction-diffusion equations. (English) Zbl 1053.35066 Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12–18, 1999. Part 1. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine (ISBN 966-02-1401-4/pt. 1; 966-02-1444-8/set). Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 30(1), 47-59 (2000). Reviewer: I. O. Parasyuk (Kyïv) MSC: 35K57 58J70 35A30 PDFBibTeX XMLCite \textit{A. G. Nikitin} and \textit{R. J. Wiltshire}, in: Proceedings of the third international conference on symmetry in nonlinear mathematical physics, Kyiv, Ukraine, July 12--18, 1999. Part 1. Transl. from the Ukrainian. Kyiv: Institute of Mathematics of NAS of Ukraine. 47--59 (2000; Zbl 1053.35066)
Nikitin, Anatoly Algebras of discrete symmetries and supersymmetries for the Schrödinger-Pauli equation. (English) Zbl 0924.35119 Int. J. Mod. Phys. A 14, No. 6, 885-897 (1999). MSC: 35Q40 81Q60 81R05 81T60 PDFBibTeX XMLCite \textit{A. Nikitin}, Int. J. Mod. Phys. A 14, No. 6, 885--897 (1999; Zbl 0924.35119) Full Text: DOI
Andrushkiw, R.; Nikitin, A. G. Higher symmetries of the wave equation with scalar and vector potentials. (English) Zbl 1054.81508 Shkil, Mykola (ed.) et al., Symmetry in nonlinear mathematical physics. Proceedings of the second international conference, Kyiv, Ukraine, July 7–13, 1997. Memorial Prof. W. Fushchych conference. Vol. 2. Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine (ISBN 966-02-0342-X). 321-327 (1997). Reviewer: A. G. Sergyeyev (Kyïv) MSC: 81R20 58J70 35A30 35Q40 PDFBibTeX XMLCite \textit{R. Andrushkiw} and \textit{A. G. Nikitin}, in: Symmetry in nonlinear mathematical physics. Proceedings of the second international conference, Kyiv, Ukraine, July 7--13, 1997. Memorial Prof. W. Fushchych conference. Vol. 2. Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine. 321--327 (1997; Zbl 1054.81508)
Fushchych, W. I.; Nikitin, A. G. Higher symmetries and exact solutions of linear and nonlinear Schrödinger equation. (English) Zbl 0890.35143 J. Math. Phys. 38, No. 11, 5944-5959 (1997). MSC: 35Q55 58J70 35A30 81Q05 35C05 PDFBibTeX XMLCite \textit{W. I. Fushchych} and \textit{A. G. Nikitin}, J. Math. Phys. 38, No. 11, 5944--5959 (1997; Zbl 0890.35143) Full Text: DOI Link
Fushchich, W. I.; Nikitin, A. G. Symmetries of equations of quantum mechanics. Transl. from the Russian. (English) Zbl 0863.35001 New York, NY: Allerton Press, Inc. xvi, 465 p. (1994). Reviewer: A.V.Aminova (Kazan’) MSC: 35-02 35Q72 81T60 58J70 PDFBibTeX XMLCite \textit{W. I. Fushchich} and \textit{A. G. Nikitin}, Symmetries of equations of quantum mechanics. Transl. from the Russian. New York, NY: Allerton Press, Inc. (1994; Zbl 0863.35001)
Beckers, J.; Debergh, N.; Nikitin, A. G. Lie extended symmetries and relativistic particles. (English) Zbl 0771.35071 J. Phys. A, Math. Gen. 25, No. 22, 6145-6154 (1992). MSC: 35Q75 83C47 58J70 PDFBibTeX XMLCite \textit{J. Beckers} et al., J. Phys. A, Math. Gen. 25, No. 22, 6145--6154 (1992; Zbl 0771.35071) Full Text: DOI
Nikitin, A. G. A complete set of symmetry operators of the Dirac equation. (Russian) Zbl 0743.35056 Ukr. Mat. Zh. 43, No. 10, 1388-1398 (1991). MSC: 35Q40 58J70 81Q60 17B81 PDFBibTeX XMLCite \textit{A. G. Nikitin}, Ukr. Mat. Zh. 43, No. 10, 1388--1398 (1991; Zbl 0743.35056) Full Text: DOI
Beckers, J.; Debergh, N.; Nikitin, A. G. More on symmetries of the Schrödinger equation. (English) Zbl 0759.35040 J. Phys. A, Math. Gen. 24, No. 21, L1269-L1275 (1991). MSC: 35Q40 58J70 PDFBibTeX XMLCite \textit{J. Beckers} et al., J. Phys. A, Math. Gen. 24, No. 21, L1269--L1275 (1991; Zbl 0759.35040) Full Text: DOI
Nikitin, A. G. The complete set of symmetry operators of the Schrödinger equation. (English. Russian original) Zbl 0770.35057 Ukr. Math. J. 43, No. 11, 1413-1418 (1991); translation from Ukr. Mat. Zh. 43, No. 11, 1521-1526 (1991). Reviewer: A.B.Borisov (Sverdlovsk) MSC: 35Q40 35A30 58J70 81R10 PDFBibTeX XMLCite \textit{A. G. Nikitin}, Ukr. Math. J. 43, No. 11, 1413--1418 (1991; Zbl 0770.35057); translation from Ukr. Mat. Zh. 43, No. 11, 1521--1526 (1991) Full Text: DOI
Nikitin, A. G. A complete set of symmetry operators of the Dirac equation. (English. Russian original) Zbl 0786.35109 Ukr. Math. J. 43, No. 10, 1287-1296 (1991); translation from Ukr. Mat. Zh. 43, No. 10, 1388-1398 (1991). MSC: 35Q40 58J70 81Q60 17B81 PDFBibTeX XMLCite \textit{A. G. Nikitin}, Ukr. Math. J. 43, No. 10, 1287--1296 (1991; Zbl 0786.35109); translation from Ukr. Mat. Zh. 43, No. 10, 1388--1398 (1991) Full Text: DOI
Nikitin, A. G.; Prilipko, A. I. Solution of the defining equations for the symmetry operator of an arbitrary finite order. (Russian) Zbl 0825.35005 Symmetry and solutions of equations of mathematical physics, Collect. Sci. Works, Kiev, 40-44 (1989). MSC: 35A30 58J70 35Q40 PDFBibTeX XMLCite \textit{A. G. Nikitin} and \textit{A. I. Prilipko}, in: Separation of variables in a Galilei-invariant second order equation. . 40--44 (1989; Zbl 0825.35005)
Fushchich, V. I.; Nikitin, A. G. [Fushchich, W. I.] Symmetries of Maxwell’s equations. Transl. from the Russian by John R. Schulenberger. (English) Zbl 0644.35004 Mathematics and its Applications (Soviet Series), 8. Dordrecht etc.: D. Reidel Publishing Company, a member of the Kluwer Academic Publishers Group. XIV, 214 p.; Dfl. 160.00; $ 74.00; £57.00 (1987). Reviewer: P.Zabrejko MSC: 35-02 35Q99 35A30 78A25 PDFBibTeX XML
Fushchich, V. I.; Nikitin, A. G. The symmetry of Maxwell equations. (Simmetriya uravnenij Maksvella). (Russian) Zbl 0531.35003 Akademiya Nauk Ukrainskoj SSR. Institut Matematiki. Kiev: ”Naukova Dumka”. 200 p. R. 2.00 (1983). Reviewer: K.Pimenov MSC: 35-02 35Q99 35A30 22E70 83C50 PDFBibTeX XML
Fushchich, V. I.; Nikitin, A. G. Conformal invariance of relativistic equations for arbitrary spin particles. (English) Zbl 0414.22025 Lett. Math. Phys. 2, 471-475 (1978). MSC: 22E70 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{A. G. Nikitin}, Lett. Math. Phys. 2, 471--475 (1978; Zbl 0414.22025) Full Text: DOI
Nikitin, A. G. On the additional symmetry of Dirac-Fierz-Pauli equation. (Russian) Zbl 0411.22022 Group-theoretic methods in mathematical physics, Coll. sci. Works, Akad. Nauk Ukr. SSR, Inst. Mat., Kiev 1978, 96-102 (1978). MSC: 22E70 58J70 78A35 81T60 PDFBibTeX XML
Nikitin, A. G. On the invariance group of Kemmer-Duffin-Petiau equation for a particle with anomalous moment. (Russian) Zbl 0411.22021 Group-theoretic methods in mathematical physics, Coll. sci. Works, Akad. Nauk Ukr. SSR, Inst. Mat., Kiev 1978, 81-95 (1978). MSC: 22E70 58J70 81T60 78A35 PDFBibTeX XML
Fushchich, V. I.; Nikitin, A. G. Group properties of the Maxwell equations. (Russian) Zbl 0411.22020 Group-theoretic methods in mathematical physics, Coll. sci. Works, Akad. Nauk Ukr. SSR, Inst. Mat., Kiev 1978, 45-80 (1978). MSC: 22E70 78A25 58J70 81T60 PDFBibTeX XML
Fushchich, V. I.; Nikitin, A. G. Invariance group of quasirelativistic equation of motion. (English. Russian original) Zbl 0393.22015 Sov. Phys., Dokl. 23, 24-25 (1978); translation from Dokl. Akad. Nauk SSSR 238, 46-49 (1978). MSC: 22E70 83C40 PDFBibTeX XMLCite \textit{V. I. Fushchich} and \textit{A. G. Nikitin}, Sov. Phys., Dokl. 23, 24--25 (1978; Zbl 0393.22015); translation from Dokl. Akad. Nauk SSSR 238, 46--49 (1978)