Olena Vaneeva
I am a Researcher at the Department
of Applied Research of Institute of Mathematics of National Academy of Sciences
of Ukraine.
Ph.D. in Mathematical Physics (2008), Institute of Mathematics, Kyiv, Ukraine.
Supervisor is Roman Popovych.
Current research interests:
-
group classification of PDEs
-
admissible and equivalence transformations in classes of PDEs
-
nonclassical and potential symmetries of PDEs
-
reduction and exact solutions of PDEs
-
conservation laws of PDEs
Curriculum Vitae
Selected works:
- Olena Vaneeva, Lie symmetries and exact solutions of variable coefficient mKdV equations:
an equivalence based approach, Commun. Nonlinear Sci. Numer. Simulat. 17 (2012) 611-618, arXiv:1104.1981.
- R.O. Popovych, O.O. Vaneeva, More common errors in finding exact solutions of nonlinear differential
equations: Part I, Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 3887-3899, arXiv:0911.1848.
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O.O. Vaneeva, R.O. Popovych, C. Sophocleous,
Enhanced group analysis and exact solutions of variable coefficient semilinear
diffusion equations with a power source, Acta Appl. Math. 106 (2009) 1-46, arXiv:0708.3457 .
- N.M. Ivanova, R.O. Popovych, C. Sophocleous and O.O. Vaneeva, Conservation laws and
hierarchies of potential symmetries for certain diffusion equations, Physica A 388 (2009) 343-356, arXiv:0806.1698.
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R.O. Popovych, C. Sophocleous, O.O. Vaneeva,
Exact solutions of a remarkable fin equation, Appl. Math. Lett.
21 (2008) 209-214,
arXiv:math-ph/0610017.
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O.O. Vaneeva, A.G. Johnpillai, R.O. Popovych and C. Sophocleous,
Group analysis of nonlinear fin equations, Appl. Math. Lett.
21 (2008) 248-253,
arXiv:math-ph/0610006.
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O.O. Vaneeva, A.G. Johnpillai, R.O. Popovych and C. Sophocleous,
Enhanced group analysis and conservation laws of variable
coefficient reaction-diffusion equations with power
nonlinearities, J. Math. Anal. Appl. 330 (2007) 1363-1386,
arXiv:math-ph/0605081.
- R.O. Popovych, O.O. Vaneeva and N.M. Ivanova,
Potential nonclassical symmetries and solutions of fast diffusion equation,
Phys. Lett. A 362 (2007) 166-173,
arXiv:math-ph/0506067.
- Olena Vaneeva, Group classification via mapping between classes: an example
of semilinear reaction-diffusion equations with exponential nonlinearity, 7 p., arXiv:0811.2587.
Address:
Department of Applied Research
Institute of Mathematics
National Academy of Sciences of Ukraine
3 Tereshchenkivs'ka Street
01601 Kyiv-4
UKRAINE
Phone:
+380 (44) 234 63 22 (office)
Fax:
+ 380 (44) 235 20 10 (office)
E-mail: vaneeva@imath.kiev.ua
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