# Yulia Yu. Bagderina (English)

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

Degree PhD in Mathematics and Physics

Papers

• Higher-order Bessel equations integrable in elementary functions. Journal of Mathematical Sciences. (to appear)
• Rational integrals of the second degree of two-dimentional geodesic equations. Siberian Electronic Mathematical Reports. 2017. V. 14. P. 33-40. (in Russian) pdf
• 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. pdf (if you have access to IOP)
• Group classification of projective type second-order ordinary differential equations. Journal of Applied and Industrial Mathematics. 2016. V. 10, N 1. P. 37-50. pdf
• Equivalence of second-order ordinary differential equations to the Painleve equations. Theor. Math. Phys. 2015. V. 182, N 2. P. 211-230. pdf
• 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) pdf (if you have access to AIP)
• Equivalence of the second-order ODEs to equations of first Painleve equation type. Ufa Math. J. 2015. V. 7, N 1. P. 19-30. pdf
• 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. pdf
• 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. pdf
• 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) pdf
• 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. (in Russian) pdf
• Invariants of a family of scalar second-order ordinary differential equations. J. Phys. A: Math. Theor. 2013. V. 46, N 29. 295201. pdf (if you have access to IOP)
• 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. pdf
• 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. pdf
• Linearization criteria for a system of two second-order ordinary differential equations. J. Phys. A: Math. Theor. 2010. V. 43, N 46. 465201. pdf
• Invariants of a family of third-order ordinary differential equations. J. Phys. A: Math. Theor. 2009. V. 42, N 8. 085204. pdf
• Three series of invariant manifolds of the Sawada-Kotera equation. Functional Analysis and Its Applications. 2009. V. 43, N 4. P. 312-315. pdf
• A new family of evolution water-wave equations possessing two-soliton solutions. Phys. Lett. A. 2009. V. 373, N 47. P. 4322-4327. pdf
• 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. pdf
• Equivalence of third-order ordinary differential equations to Chazy equations I-XIII. Studies in Applied Mathematics. 2008. V. 120, N 3. P. 293-332. pdf
• 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. pdf
• Integrable main resonance equations. Mathematical Notes. 2006. V. 80, N 3-4. P. 442-446. pdf
• Symmetries of factor systems. Siberian Math. Journal. 2005. V. 46, N 2. С. 226-232. pdf
• 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) pdf
• Solution of ordinary differential equations with a large Lie symmetry group. Nonlinear Dynamics. 2002. V. 30, N 3. P. 287-294. pdf