Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Website: https://matem.anrb.ru/ru/bagderinayy
Keywords: symmetry, evolution equation, invariant manifold, differential constraint, equivalence.
UDC: 517.928, 517.928.226, 517.958

Subject:

Symmetries and integrability of differential equations, method of differential constraints in constructing multi-phase solutions of evolution equations, equivalence of ordinary differential equations.

Main publications:

1. Bagderina Yu. Yu., “Invariants of a family of scalar second-order ordinary differential equations for Lie symmetries and first integrals”, Journal Physics A: Math. Theor., 49:15 (2016), 155202    
2. Bagderina Yu. Yu., Tarkhanov N. N., “Solution of the equivalence problem for the third Painlevé equation”, Journal of Mathematical Physics, 56:1 (2015), 013507    
3. Bagderina Yu. Yu., “Linearization criteria for a system of two second-order ordinary differential equations”, Journal Physics A: Math. Theor., 43:46 (2010), 465201    
4. Bagderina Yu. Yu., “Invariants of a family of third-order ordinary differential equations”, Journal Physics A: Math. Theor., 42:8 (2009), 085204    
5. Bagderina Yu. Yu., “Ratsionalnye resheniya evolyutsionnykh uravnenii pyatogo poryadka dlya opisaniya voln na vode”, Prikl. matematika i mekhanika, 72:2 (2008), 288–301  

Recent publications

Presentations in Math-Net.Ru

Personal pages:

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Organisations:

• Institute of Mathematics with Computing Centre, Ufa Federal Research Centre, Russian Academy of Sciences, Ufa