P 25064  Extended group analysis of differential equations  

Project publications a) Peerreviewed international publications
Extended symmetry analysis of generalized Burgers equations, J. Math. Phys. 58 (2017), 101501, 28 pp., arXiv:1603.09377. Group analysis of general Burgers–Korteweg–de Vries equations, J. Math. Phys. 58 (2017), 081511, 37 pp., arXiv:1703.06932. Group classification of linear evolution equations, J. Math. Anal. Appl. 448 (2017), 982–1005, arXiv:1605.09251. Singular reduction modules of differential equations, J. Math. Phys. 57 (2016), 101503, 34 pp., arXiv:1201.3223. Invariant and conservative parameterization schemes, Chapter 28 in Parameterization of Atmospheric Convection. Vol. 2. Current Issues and New Theories, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, 2015, pp. 483524. Popovych R.O., Algebraic method for finding equivalence groups, J. Phys.: Conf. Ser. 621 (2015) 012001, 17 pp., arXiv:1503.06487. Equivalence groupoids of classes of linear ordinary differential equations and their group classification, J. Phys.: Conf. Ser. 621 (2015) 012002, 17 pp., arXiv:1403.6062. Canonical forms for matrices of Saletan contractions, J. Phys.: Conf. Ser. 621 (2015) 012002, 10 pp., arXiv:1507.00781. Group analysis of Benjamin–Bona–Mahony equations with time dependent coefficients, J. Phys.: Conf. Ser. 621 (2015) 012016, 13 pp. arXiv:1506.08137. Group classification and exact solutions of variablecoefficient generalized Burgers equations with linear damping, Appl. Math. Comput. 243 (2014) 232–244, arXiv:1308.4265. Equivalence transformations in the study of integrability, Phys. Scr. 89 (2014), 038003, 9 pp., arXiv:1308.5126. Invariant parameterization and turbulence modeling on the betaplane, Phys. D 269 (2014), 4862, arXiv:1112.1917. Complete point symmetry group of the barotropic vorticity equation on a rotating sphere, J. Engrg. Math. 82 (2013), 3138, arXiv:1206.6919. Reduction operators of Burgers equation, J. Math. Anal. Appl. 398 (2013), 270277, arXiv:1208.0232. Lie symmetries of systems of secondorder linear ordinary differential equations with constant coefficients, J. Math. Anal. Appl. 397 (2013), 434440, arXiv:1203.0387. Reduction operators of the linear rod equation, Proceedings of the Sixth International Workshop "Group Analysis of Differential Equations and Integrable Systems" (Protaras, Cyprus, June 1721, 2012), University of Cyprus, Nicosia, 2013, 1729. Group classification of the Fisher equation with timedependent coefficients, Proceedings of the Sixth International Workshop "Group Analysis of Differential Equations and Integrable Systems" (Protaras, Cyprus, June 1721, 2012), University of Cyprus, Nicosia, 2013, 225237.
b) National publications
Conditional symmetries of the linear beam equation, Dopov. Nats. Akad. Nauk Ukr. (2013), no. 9, 715. (Ukrainian)
c) Published theses
Admissible transformations and the group classification of Schrödinger equations, Doctoral Thesis, Linköping Studies in Science and Technology. Dissertation No. 1846, Linköping University, 2017. Group classification of linear Schrödinger equations by the algebraic method, Licentiate Thesis, Linköping Studies in Science and Technology. Thesis No. 1743, Linköping University, 2016. d) Preprints
Enhanced group classification of nonlinear diffusionreaction equations with gradientdependent diffusion, 2018, arXiv:1804.08776, 21 pp. Enhanced symmetry analysis of twodimensional Burgers system, 2017, arXiv:1709.02708, 32 pp. Sergyeyev A., Extended symmetry analysis of isothermal noslip drift flux model, 2017, arXiv:1705.09277, 26 pp. Inverse problem on conservation laws, 2017, arXiv:1705.03547, 26 pp. On the ineffectiveness of constant rotation in the primitive equations and their symmetry analysis, 2015, arXiv:1503.04168, 15 pp. e) Planned publications
KleinGordon equation, in preparation. in preparation.



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