Yulia Yu. Bagderina

Researcher,
PhD

yulya@mail.rb.ru

Scientific Interests

• Equivalence of ordinary differential equations

• Method of differential constraints in constructing multi-phase solutions of evolution equations

• Autoresonance in models described by ODEs systems

Experience

• 2002 Assistant, Ufa State Aviation Technical University
• 2003 PhD thesis "Approximate symmetries and solutions of differential equations with a small parameter"
• 2003-2004 Junior researcher, Institute of Mathematics, Ufa Scientific Center of RAS
• 2005-2008 Researcher, Institute of Mathematics, Ufa Scientific Center of RAS
• 2008-present Senior researcher, Institute of Mathematics, Ufa Scientific Center of RAS

[ Top ]

Conferences

• 13-18 September 2010, 4-10 September 2006 V and III conference "Actual problems of applied mathematics and mechanics", Novorossiisk, Russia
• 30 March - 2 April 2009 Int. conference "Modern problems of mathematics, mechanics and thier applications", Moscow, Russia
• 23-28 April 2009, 10-14 May 2004 Conference "New mathematical models in mechanics of continua: constructing and studying", Novosibirsk, Russia
• 1-5 December 2008, 17-21 December 2007, 5-9 December 2004 Int. conference "Nonlinear equations and complex analysis", Yakti-Kul, Russia
• 31 January - 4 February 2005, 29 January - 2 February 2001 36-th and 32-th regional conference "Problems of theoretical and applied mathematics", Ekaterinburg, Russia

[ Top ]

Publications

• Yu.Yu. Bagderina, Linearization criteria for a system of two second-order ordinary differential equations. J. Phys. A: Math. Theor. 2010. Vol. 43, № 46. P. 465201. pdf
• Yu.Yu. Bagderina, Invariants of a family of third-order ordinary differential equations. J. Phys. A: Math. Theor. 2009. Vol. 42, № 8. P. 085204. pdf
• Yu.Yu. Bagderina, Three series of invariant manifolds of the Sawada-Kotera equation. Functional Analysis and Its Applications. 2009. Vol. 43, № 4. P. 312-315. pdf
• Yu.Yu. Bagderina, A new family of evolution water-wave equations possessing two-soliton solutions. Phys. Lett. A. 2009. Vol. 373, № 47. P. 4322-4327. pdf
• Yu.Yu. Bagderina, Equivalence of third-order ordinary differential equations to Chazy equations I-XIII. Studies in Applied Mathematics. 2008. Vol. 120, № 3. P. 293-332. pdf
• Yu.Yu. Bagderina, Rational solutions of fifth-order evolutionary equations for describing waves on water. Journal of Applied Mathematics and Mechanics. 2008. Vol. 72, № 2. P. 180-191. pdf
• L.A. Kalyakin and Yu.Yu. Bagderina, Asymptotics for the solution of averaged equations for a system of coupled oscillators. J. Math. Sci. 2008. Vol. 151, № 1. P. 2699-2709.
• Yu.Yu. Bagderina, Equivalence of ordinary differential equations $y''=R(x,y)y'^2+2Q(x,y)y'+P(x,y)$. Differential Equations. 2007. Vol. 43, № 5. P. 595-604. pdf
• Yu.Yu. Bagderina, Integrable main resonance equations. Math. Notes. 2006. Vol. 80, № 3-4. P. 442-446. pdf
• L.A. Kalyakin and Yu.Yu. Bagderina, Asymptotics of Bounded-at-Infinity Solutions of the Principal Resonance Equation. Math. Notes. 2005. Vol. 78, № 1. P. 76-87.
• Yu.Yu. Bagderina, Symmetries of factor systems. Siberian Math. Journal. 2005. Vol. 46, № 2. P. 226-232. pdf
• Yu.Yu. Bagderina and A.P. Chupakhin, Invariant and Partially Invariant Solutions of the Green-Naghdi Equations. Journal of Applied Mechanics and Technical Physics. 2005. Vol. 46, № 6. P. 791-799. pdf
• Yu.Yu. Bagderina and R.K. Gazizov, Approximately invariant solutions of differential equations with a small parameter. Dif. Equations. 2005. Vol. 41, № 3. P. 364-372. pdf
• Yu.Yu. Bagderina and R.K. Gazizov, Invariant representation and symmetry reduction for differential equations with a small parameter. Comm. in Nonlin. Sci. and Numer. Sim. 2004. Vol. 9, № 1. P. 3-11.
• Yu.Yu. Bagderina, Approximate Lie group analysis and solutions of 2D nonlinear diffusion-convection equations. J. Phys. A: Math. Gen. 2003. Vol. 36, № 3. P. 753-764. pdf
• Yu.Yu. Bagderina, Invariants of multi-parameter approximate transformation groups. J. Math. Analysis Appl. 2003. Vol. 281, № 2. P. 539-551. pdf
• Yu.Yu. Bagderina, Solution of Ordinary Differential Equations with a Large Lie Symmetry Group. Nonlinear Dynamics. 2002. Vol. 30, № 3. P. 287-294. pdf

[ Top ]