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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:3770
Abstract pages:4303
Full texts:1914
References:664
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  crossref  zmath
  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  crossref  zmath
  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  crossref  zmath
  4. Bagderina Yu. Yu., “Invariants of a family of third-order ordinary differential equations”, Journal Physics A: Math. Theor., 42:8 (2009), 085204  crossref  zmath
  5. Bagderina Yu. Yu., “Ratsionalnye resheniya evolyutsionnykh uravnenii pyatogo poryadka dlya opisaniya voln na vode”, Prikl. matematika i mekhanika, 72:2 (2008), 288–301  zmath

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)

   2020
1. 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  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus

   2021
2. Yu. Yu. Bagderina, “Eigenfunctions of Ordinary Differential Euler Operators”, J. Math. Sci. (N. Y.), 252:2 (2021), 125–134  mathnet  crossref  mathscinet  scopus

   2019
3. 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  mathnet  crossref  mathscinet  zmath  scopus

   2017
4. Yu. Yu. Bagderina, “Rational integrals of the second degree of two-dimentional geodesic equations”, Sib. Èlektron. Mat. Izv., 14 (2017), 33–40  mathnet  crossref  isi

   2019
5. Yu. Yu. Bagderina, “Higher-order Bessel equations integrable in elementary functions”, Journal of Mathematical Sciences, 241:4 (2019), 379–395  mathnet  crossref  mathscinet  zmath  scopus

   2016
6. Yu. Yu. Bagderina, “Group classification of projective type second-order ordinary differential equations”, Journal of Applied and Industrial Mathematics, 10:1 (2016), 37–50  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
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.  crossref  mathscinet  zmath  adsnasa  isi  scopus 7

   2015
8. Yu. Yu. Bagderina, “Equivalence of second-order ordinary differential equations to Painlevé equations”, Theoret. and Math. Phys., 182:2 (2015), 211–230  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
9. Yu. Yu. Bagderina, “Equivalence of second-order ODEs to equations of first Painlevé equation type”, Ufa Math. Journal, 7:1 (2015), 19–30  mathnet  crossref  mathscinet  isi  elib  elib  scopus
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.  crossref  mathscinet  zmath  adsnasa  isi  scopus 5

   2014
11. 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  crossref  mathscinet  zmath  adsnasa  isi  scopus 6
12. 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  crossref  mathscinet
13. 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  crossref  mathscinet  zmath  isi  scopus 4

   2013
14. 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.  crossref  mathscinet  zmath  adsnasa  isi  scopus 11
15. 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

   2012
16. Yu. Yu. Bagderina, “Otdelimost uravneniya v sisteme dvukh obyknovennykh differentsialnykh uravnenii vtorogo poryadka”, Ufimsk. matem. zhurn., 4:2 (2012), 13–27  mathnet  mathscinet  elib

   2011
17. Yu. Yu. Bagderina, “Equivalence of linear systems of two second-order ordinary differential equations”, Progress in Applied Mathematics, 1:1 (2011), 106–121  crossref

   2010
18. 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.  crossref  mathscinet  zmath  isi  scopus 19

   2009
19. Yu. Yu. Bagderina, “Three Series of Invariant Manifolds of the Sawada–Kotera Equation”, Funct. Anal. Appl., 43:4 (2009), 312–315  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
20. Yu. Yu. Bagderina, “A new family of evolution water-wave equations possessing two-soliton solutions”, Physics Letters A, 373:47 (2009), 4322–4327  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus 3
21. 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.  crossref  mathscinet  zmath  adsnasa  isi 6

   2008
22. Yu. Yu. Bagderina, “Equivalence of third-order ordinary differential equations to Chazy equations I-XIII”, Studies in Applied Mathematics, 120:3 (2008), 293–332  crossref  mathscinet  zmath  isi  scopus 5
23. 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  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2007
24. 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  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
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  mathnet  crossref  mathscinet  zmath  elib  elib  scopus

   2006
26. Yu. Yu. Bagderina, “Integrable main resonance equations”, Math. Notes, 80:3 (2006), 442–446  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2005
27. Yu. Yu. Bagderina, R. K. Gazizov, “Approximately Invariant Solutions of Differential Equations with a Small Parameter”, Differential Equations, 41:3 (2005), 364–372  mathnet  crossref  mathscinet  elib  elib
28. L. A. Kalyakin, Yu. Yu. Bagderina, “Asymptotics of Bounded-at-Infinity Solutions of the Principal Resonance Equation”, Math. Notes, 78:1 (2005), 76–87  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
29. Yu. Yu. Bagderina, “Symmetries of factor systems”, Siberian Math. J., 46:2 (2005), 226–232  mathnet  crossref  mathscinet  zmath  isi
30. 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  crossref  mathscinet  zmath  adsnasa  elib  scopus
31. 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  mathnet  crossref  elib

   2004
32. 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  crossref  mathscinet  zmath  adsnasa  scopus 2

   2003
33. 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  crossref  mathscinet  zmath  adsnasa  isi  scopus
34. Yu. Yu. Bagderina, “Invariants of multi-parameter approximate transformation groups”, Journal of Mathematical Analysis and Applcations, 281:2 (2003), 539–551  crossref  mathscinet  zmath  isi  scopus

   2002
35. Yu. Yu. Bagderina, “Solution of ordinary differential equations with a large Lie symmetry group”, Nonlinear Dynamics, 30:3 (2002), 287–294  crossref  mathscinet  zmath  isi  scopus 3

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
 
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