Olena Vaneeva
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I am a Junior 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 - Roman Popovych
Current research interests:
-
group classification of PDEs
-
nonclassical and potential symmetries of PDEs
-
reduction and exact solutions of PDEs
-
conservation laws of PDEs
Curriculum Vitae
Selected works:
- R.O. Popovych, O.O. Vaneeva, More common errors in finding exact solutions of nonlinear differential
equations. I, 16 p., 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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