Yulia Yu. Bagderina (English)

Эта страница на русском языке: http://matem.anrb.ru/ru/bagderinayy

Position from 2008 Senior Researcher of the Department of Differential Equations

Degree PhD in Mathematics and Physics

Email bagderinayu@yandex.ru

Papers

  • Invariants of a family of scalar second-order ODEs for Lie symmetries and first integrals. J. Phys. A: Math. Theor. 2016. V. 49, N 15. 155202.
  • Group classification of projective type second-order ordinary differential equations. Journal of Applied and Industrial Mathematics. 2016. V. 10, N 1. P. 37-50.
  • Equivalence of second-order ordinary differential equations to the Painleve equations. Theor. Math. Phys. 2015. V. 182, N 2. P. 211-230.
  • Solution of the equivalence problem for the third Painleve equation. Journal of Mathematical Physics. 2015. V. 56, N. 1. P. 013507. (with N.N. Tarkhanov)
  • Equivalence of the second-order ODEs to equations of first Painleve equation type. Ufa Math. J. 2015. V. 7, N 1. P. 19-30.
  • Symmetries and invariants of the systems of two linear second-order ordinary differential equations. Communications in Nonlinear Science and Numerical Simulation. 2014. V. 19, N 10. P. 3513-3522.
  • Differential invariants and first integrals of the system of two linear second-order ordinary differential equations. Progress in Applied Mathematics. 2014. V. 7, N 1. P. 20-35.
  • Differential invariants of a class of Lagrangian systems with two degrees of freedom. J. Math. Analysis Appl. 2014. V. 410, N 2. P. 733-749. (with N.N. Tarkhanov)
  • Differential invariants of a system of Euler-Lagrangian equations with two degrees of freedom. Nanostructures. Mathematical Physics and Modeling. 2013. V. 8, N 2. P. 5-14.
  • Invariants of a family of scalar second-order ordinary differential equations. J. Phys. A: Math. Theor. 2013. V. 46, N 29. 295201.
  • Separation of an equation in the system of two second-order ordinary differential equations. Ufa Math. J. 2012. V. 4, N 2. P. 13-27.
  • Equivalence of linear systems of two second-order ordinary differential equations. Progress in Applied Mathematics. 2011. V. 1, N 1. P. 105-120. P. 106-121.
  • Linearization criteria for a system of two second-order ordinary differential equations. J. Phys. A: Math. Theor. 2010. V. 43, N 46. 465201. 
  • Invariants of a family of third-order ordinary differential equations. J. Phys. A: Math. Theor. 2009. V. 42, N 8. 085204.
  • Three series of invariant manifolds of the Sawada-Kotera equation. Functional Analysis and Its Applications. 2009. V. 43, N 4. P. 312-315.
  • A new family of evolution water-wave equations possessing two-soliton solutions. Phys. Lett. A. 2009. V. 373, N 47. P. 4322-4327. 
  • Rational solutions of fifth-order evolutionary equations for describing waves on water. Journal of Applied Mathematics and Mechanics. 2008. V. 72, N 2. P. 180-191.
  • Equivalence of third-order ordinary differential equations to Chazy equations I-XIII. Studies in Applied Mathematics. 2008. V. 120, N 3. P. 293-332.
  • Equivalence of ordinary differential equations $y''=R(x,y)y'^2+2Q(x,y)y'+P(x,y)$. Differential Equations. 2007. V. 43, N 5. С. 595-604.
  • Integrable main resonance equations. Mathematical Notes. 2006. V. 80, N 3-4. P. 442-446.
  • Symmetries of factor systems. Siberian Math. Journal. 2005. V. 46, N 2. С. 226-232.
  • Invariant and Partially Invariant Solutions of the Green-Naghdi Equations. Journal of Applied Mechanics and Technical Physics. 2005. V. 46, N 6. P. 791-799. (with A.P. Chupakhin)
  • Solution of ordinary differential equations with a large Lie symmetry group. Nonlinear Dynamics. 2002. V. 30, N 3. P. 287-294.