Oleg I. Morozov

Occupation: Associate Professor, Department of Mathematics, Moscow State Technical University of Civil Aviation, 20 Kronshtadtsky Blvd, Moscow 125993, Russia Email: Education: 1991, PhD in Physical and Mathematical Sciences, Moscow State University, Moscow, Russia 1986, Graduating Diploma with Honour, Moscow State University, Moscow, Russia Research interests: symmetry analysis and exact solutions of differential equations; applications of Cartan's structure theory of Lie pseudo-groups to symmetries of differential equations

Recent publications:

• Cartan's Structure of Symmetry Pseudo-Group and Coverings for the r-th Modified Dispersionless Kadomtsev-Petviashvili Equation. // Acta Applicandae Mathematicae, 2010, Vol. 109, No 1, pp. 257 - 272. doi:10.1007/s10440-009-9451-3


• Contact Integrable Extensions of Symmetry Pseudo-Groups and Coverings of (2+1) Dispersionless Integrable Equations. // Journal of Geometry and Physics, Vol. 59 (2009), pp. 1461-1475. doi:10.1016/j.geomphys.2009.07.009


• Maurer-Cartan Forms of the Symmetry Pseudo-Group and the Covering of Plebanski's Second Heavenly Equation, Scientific Bulletin of MSTUCA, 2009, No 140, pp. 14 - 21 (in Russian). www.arxiv.org, 0902.0086


• The equivalence problem for the Euler-Bernoulli beam equation via Cartan's method. (with C. Wafo Soh) J. Phys. A: Math. Theor., 2008, 41 135206 (14pp) doi:10.1088/1751-8113/41/13/135206


• Cartan's Structure Theory of Symmetry Pseudo-Groups, Coverings and Multi-Valued Solutions for the Khokhlov-Zabolotskaya Equation. // Acta Applicandae Mathematicae, 2008, Vol. 101, NN 1-3, pp. 231-241. doi:10.1007/s10440-008-9191-9


• Coverings of Differential Equations and Cartan's Structure Theory of Lie Pseudo-Groups. // Acta Applicandae Mathematicae, 2007, Vol. 99, No 3, pp. 309 - 319 doi:10.1007/s10440-007-9167-1


• Maurer-Cartan Forms for Symmetry Pseudo-Groups and Coverings of Differential Equations. // Proceedings of the International Conference "Symmetry and Perturbation Theory" (SPT) 2007, Otranto, Italy, 2-9 June 2007, eds. G. Gaeta, R. Vitolo, S. Walcher. Proceedings at WorldSciBooks


• Linearizability and Integrability of the generalized Calogero-Hunter-Saxton equation. // Scientific bulletin of Moscow State Technical University of Civial Aviation, 2006, Vol. 104, pp. 34 - 41 (in Russian)


• Structure of symmetry groups via Cartan's method: survey of four approaches. // Symmetry, Integrability and Geometry: Methods and Applications, 2005, Vol. 1, Paper 006, 14 pages, http://www.emis.de/journals/SIGMA/2005/Paper006


• Geometry of the class of Abel's equations and the Cartan equivalence method. // Scientific Bulletin of Moscow State Technical University of Civil Aviation, Ser. math., phys., 2005, No 91 (9), pp. 28 - 35 (in Russian)


• The equivalence problem for the class of rational generalized Abel's equations. // Differential Equations, 2005, Vol. 41, No 6, pp. 855 - 856


• Contact Equivalence of the Generalized Hunter-Saxton Equation and the Euler-Poisson Equation. www.arxiv.org, math-ph/0406016


• Contact-Equivalence Problem for Linear Hyperbolic Equations. // Journal of Mathematical Sciences, 2006, Vol. 135, No 1, pp. 2680-2694 doi:10.1007/s10958-006-0138-2


• Symmetries of Differential Equations and Cartan's Equivalence Method. // Proceedings of Institute of Mathematics of NAS of Ukraine, 2004, Vol 50, Part 1, 196-203. http://www.imath.kiev.ua/~snmp2003/Proceedings/morozov.pdf. Local copy of the PDF.


• Contact Equivalence Problem for Nonlinear Wave Equations. www.arxiv.org, math-ph/0306007


• Contact Equivalence Problem for Linear Parabolic Equations. www.arxiv.org, math-ph/0304045


• Equivalence Problem for the Class of Generalized Abel Equations // Differential Equations, 2003, Vol 39, No 3, p. 460 - 461 http://www.kluweronline.com/issn/0012-2661


• Cartan Structure of Symmetry Pseudo-Groups of Differential Equations via the Moving Coframe Method. Preprint http://www.math.umn.edu/~focm/focp.html


• Moving coframes and symmetries of differential equations. // J Phys A Math and Gen, 2002, Vol. 35, No 12, pp. 2965 - 2977. http://stacks.iop.org/0305-4470/35/2965