Persons: Bagderina, Yuliya Yur'evna

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Bagderina, Yuliya Yur'evna
(1976–2019)

Total publications:	35 (35)
in MathSciNet:	30 (30)
in zbMATH:	24 (24)
in Web of Science:	23 (23)
in Scopus:	25 (25)
Cited articles:	26
Citations:	144
Presentations:	2

Number of views:
This page:	3725
Abstract pages:	4128
Full texts:	1825
References:	590

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:

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

https://www.mathnet.ru/eng/person20279

List of publications on Google Scholar

List of publications on ZentralBlatt

https://mathscinet.ams.org/mathscinet/MRAuthorID/703768

https://www.webofscience.com/wos/author/record/G-6097-2014

Full list of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	Yu. Yu. Bagderina, “Linearization criteria for a system of two second-order ordinary differential equations”, Journal Physics A: Mathematical and Theoretical, 43:46 (2010), 465201 , 14 pp.	19 ^[x]
2.	Yu. Yu. Bagderina, “Equivalence of second-order ordinary differential equations to Painlevé equations”, Theoret. and Math. Phys., 182:2 (2015), 211–230
3.	Yu. Yu. Bagderina, “Invariants of a family of scalar second-order ordinary differential equations”, Journal Physics A: Mathematical and Theoretical, 46:29 (2013), 295201 , 36 pp.	11 ^[x]
4.	Yu. Yu. Bagderina, “Equivalence of ordinary differential equations $y''=R(x,y)y'^2+2Q(x,y)y'+P(x,y)$”, Differential Equations, 43:5 (2007), 595–604
5.	Yu. Yu. Bagderina, A. P. Chupakhin, “Invariant and Partially Invariant Solutions of the Green-Naghdi Equations”, Journal of Applied Mechanics and Technical Physics, 46:6 (2005), 791–799
6.	Yu. Yu. Bagderina, A. P. Chupakhin, “Invariant and partially invariant solutions of the Green–Naghdi equations”, J. Appl. Mech. Tech. Phys., 46:6 (2005), 791–799
7.	Yu. Yu. Bagderina, “Invariants of a family of scalar second-order ordinary differential equations for Lie symmetries and first integrals”, Journal Physics A: Mathematical and Theoretical, 49:15 (2016), 155202 , 32 pp.	7 ^[x]
8.	Yu. Yu. Bagderina, “Symmetries and invariants of the systems of two linear second-order ordinary differential equations”, Communications in Nonlinear Science and Numerical Simulation, 19:10 (2014), 3513–3522	6 ^[x]
9.	Yu. Yu. Bagderina, “Invariants of a family of third-order ordinary differential equations”, Journal Physics A: Mathematical and Theoretical, 42:8 (2009), 085204 , 21 pp.	6 ^[x]
10.	Yu. Yu. Bagderina, N. N. Tarkhanov, “Solution of the equivalence problem for the third Painlevé equation”, Journal of Mathematical Physics, 56:1 (2015), 013507 , 15 pp.	5 ^[x]
11.	Yu. Yu. Bagderina, “Three Series of Invariant Manifolds of the Sawada–Kotera Equation”, Funct. Anal. Appl., 43:4 (2009), 312–315
12.	Yu. Yu. Bagderina, “Equivalence of third-order ordinary differential equations to Chazy equations I-XIII”, Studies in Applied Mathematics, 120:3 (2008), 293–332	5 ^[x]
13.	Yu. Yu. Bagderina, “Integrable main resonance equations”, Math. Notes, 80:3 (2006), 442–446
14.	Yu. Yu. Bagderina, N. N. Tarkhanov, “Differential invariants of a class of Lagrangian systems with two degrees of freedom”, Journal of Mathematical Analysis and Applcations, 410:2 (2014), 733–749	4 ^[x]
15.	Yu. Yu. Bagderina, “Rational solutions of fifth-order evolutionary equations for describing waves on water”, Journal of Applied Mathematics and Mechanics, 72:2 (2008), 180–191
16.	Yu. Yu. Bagderina, “Rational integrals of the second degree of two-dimentional geodesic equations”, Sib. Èlektron. Mat. Izv., 14 (2017), 33–40
17.	Yu. Yu. Bagderina, “Higher-order Bessel equations integrable in elementary functions”, Journal of Mathematical Sciences, 241:4 (2019), 379–395
18.	Yu. Yu. Bagderina, “Group classification of projective type second-order ordinary differential equations”, Journal of Applied and Industrial Mathematics, 10:1 (2016), 37–50
19.	Yu. Yu. Bagderina, “Equivalence of second-order ODEs to equations of first Painlevé equation type”, Ufa Math. Journal, 7:1 (2015), 19–30
20.	Yu. Yu. Bagderina, “A new family of evolution water-wave equations possessing two-soliton solutions”, Physics Letters A, 373:47 (2009), 4322–4327	3 ^[x]
21.	L. A. Kalyakin, Yu. Yu. Bagderina, “Asymptotics of Bounded-at-Infinity Solutions of the Principal Resonance Equation”, Math. Notes, 78:1 (2005), 76–87
22.	Yu. Yu. Bagderina, “Solution of ordinary differential equations with a large Lie symmetry group”, Nonlinear Dynamics, 30:3 (2002), 287–294	3 ^[x]
23.	Yu. Yu. Bagderina, R. K. Gazizov, “Invariant representation and symmetry reduction for differential equations with a small parameter”, Communications in Nonlinear Science and Numerical Simulation, 9:1 (2004), 3–11	2 ^[x]
24.	Yu. Yu. Bagderina, “Necessary conditions of point equivalence of second-order ODEs to the sixth Painlevé equation”, J. Math. Sci. (N. Y.), 242:5 (2019), 595–607
25.	L. A. Kalyakin, Yu. Yu. Bagderina, “Asymptotics for the solution of averaged equations for the system of coupled oscillators”, J. Math. Sci., 151:1 (2008), 2699–2709
26.	Yu. Yu. Bagderina, R. K. Gazizov, “Approximately Invariant Solutions of Differential Equations with a Small Parameter”, Differential Equations, 41:3 (2005), 364–372
27.	Yu. Yu. Bagderina, “Differential invariants and first integrals of the system of two linear second-order ordinary differential equations”, Progress in Applied Mathematics, 7:1 (2014), 20–35
28.	Yu. Yu. Bagderina, “Differentsialnye invarianty sistemy uravnenii Eilera-Lagranzha s dvumya stepenyami svobody”, Nanostruktury. Matematicheskaya fizika i modelirovanie, 8:2 (2013), 5–14 http://www.nano-journal.ru/images/2/2a/6_pdfsam_Nano14.pdf
29.	Yu. Yu. Bagderina, “Otdelimost uravneniya v sisteme dvukh obyknovennykh differentsialnykh uravnenii vtorogo poryadka”, Ufimsk. matem. zhurn., 4:2 (2012), 13–27
30.	Yu. Yu. Bagderina, “Equivalence of linear systems of two second-order ordinary differential equations”, Progress in Applied Mathematics, 1:1 (2011), 106–121
31.	Yu. Yu. Bagderina, “Symmetries of factor systems”, Siberian Math. J., 46:2 (2005), 226–232
32.	Yu. Yu. Bagderina, “Approximate Lie group analysis and solutions of 2D nonlinear diffusion-convection equations”, Journal Physics A: Mathematical and General, 36:3 (2003), 753–764
33.	Yu. Yu. Bagderina, “Invariants of multi-parameter approximate transformation groups”, Journal of Mathematical Analysis and Applcations, 281:2 (2003), 539–551
34.	Yu. Yu. Bagderina, “Point equivalence of second-order ordinary differential equations to the fifth Painlevé equation with one and two nonzero parameters”, Theoret. and Math. Phys., 202:3 (2020), 295–308
35.	Yu. Yu. Bagderina, “Eigenfunctions of Ordinary Differential Euler Operators”, J. Math. Sci. (N. Y.), 252:2 (2021), 125–134

Presentations in Math-Net.Ru

1.	Invariants of Euler equations with commuting operators Yu. Yu. Bagderina International Conference "Geometric Analysis and Control Theory" December 12, 2016 16:30
2.	Polynomial Integrals of the Geodesics Equations in Two-Dimensional Case Yulia Bagderina International youth conference "Geometry & Control" April 15, 2014 17:00

Organisations

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

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