With symmetry in life and mathematics
To the 75th anniversary of Corresponding Member of NAS of Ukraine A.G. Nikitin
DOI:
https://doi.org/10.15407/visn2020.12.087Abstract
December 25 marks the 75th anniversary of the famous Ukrainian specialist in mathematical physics, winner of the State Prize of Ukraine in Science and Technology (2001) and the M.M. Krylov Prize of the NAS of Ukraine (2010), Head of the Department of Mathematical Physics of the Institute of Mathematics of the NAS of Ukraine, Doctor of Physical and Mathematical Sciences (1987), Professor (2001), Corresponding Member of the NAS of Ukraine (2009) Anatoly G. Nikitin.
References
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Nikitin A.G. (ed.) Symmetry and Integrability of Equations of Mathematical Physics (dedicated to the 70th anniversary of Professor W.I. Fushchych). Transactions of Institute of Mathematics of NAS of Ukraine. 2006. 3(2): 5–8. (in Ukrainian). http://trim.imath.kiev.ua/index.php/trim/issue/view/20
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de Montigny M., Niederle J. Nikitin A.G. Galilei invariant theories. I. Constructions of indecomposable finite-dimensional representations of the homogeneous Galilei group: directly and via contractions. J. Phys. A: Math. Gen. 2006. 39(29):9365–9385. https://doi.org/10.1088/0305-4470/39/29/026
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Nikitin A.G., Wiltshire R.J. Symmetries of systems of nonlinear reaction-diffusion equations. Proc. of Inst. of Mathematics of the Nat. Acad. Sci. of the Ukraine. 2000. 30 (Part 1): 47–59. https://www.imath.kiev.ua/~symmetry/Symmetry99/art4.pdf
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Nikitin A.G. Group classification of systems of non-linear reaction-diffusion equations with general diffusion matrix. I. Generalized Ginsburg–Landau equations. J. Math. Anal. Appl. 2006. 324(1): 615–628. DOI: https://doi.org/10.1016/j.jmaa.2005.12.022
Nikitin A.G. Group classification of systems of non-linear reaction-diffusion equations with triangular diffusion matrix. Ukr. Math. J. 2007. 59: 395–411. DOI: https://doi.org/10.1007/s11253-007-0028-x
Nikitin A.G., Spichak S.V., Vedula Yu.S., Naumovets A.G. Symmetries and modelling functions for diffusion processes. J. Phys. D: Appl. Phys. 2009. 42(5): 055301. DOI: https://doi.org/10.1088/0022-3727/42/5/055301
Nikitin A.G., Kuriksha O. Symmetries of field equations of axion electrodynamics. Phys. Rev. D. 2012. 86: 025010. DOI: https://doi.org/10.1103/PhysRevD.86.025010
Nikitin A.G., Karadzhov Yu. Matrix superpotentials. J. Phys. A: Math. Theor. 2011. 44(30): 305204. DOI: https://doi.org/10.1088/1751-8113/44/30/305204
Nikitin A.G. Matrix superpotentials and superintegrable systems for arbitrary spin. J. Phys. A: Math. Theor. 2012. 45: 225205. DOI: https://doi.org/10.1088/1751-8113/45/22/225205
Nikitin A.G. Laplace–Runge–Lenz vector for arbitrary spin. 2013. J. Math. Phys. 54: 123506. DOI: https://doi.org/10.1063/1.4843435
Nikitin A.G. New exactly solvable systems with Fock symmetry. J. Phys. A: Math. Theor. 2012. 45: 485204. DOI: https://doi.org/10.1088/1751-8113/45/48/485204
Nikitin A.G. Superintegrability and supersymmetry of Schrödinger–Pauli equations for neutral particles. J. Math. Phys. 2012. 53(12): 122103. DOI: https://doi.org/10.1063/1.4768464
Nikitin A.G. Superintegrable and shape invariant systems with position dependent mass. J. Phys. A: Math. Theor. 2015. 48: 335201. DOI: https://doi.org/10.1088/1751-8113/48/33/335201
Nikitin A.G. Kinematical invariance groups of the 3d Schrödinger equations with position dependent masses. J. Math. Phys. 2017. 58(8): 083508. DOI: https://doi.org/10.1063/1.4986171
Nikitin A.G. Symmetries of Schrödinger equation with scalar and vector potentials. J. Phys. A: Math. Theor. 2020. 53: 455202. DOI: https://doi.org/10.1088/1751-8121/abb956
