Nonlinear evolution equations with exponential nonlinearities: conditional symmetries and exact solutions
Roman Cherniha; Oleksii Pliukhin
Banach Center Publications (2011)
- Volume: 93, Issue: 1, page 105-115
- ISSN: 0137-6934
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topRoman Cherniha, and Oleksii Pliukhin. "Nonlinear evolution equations with exponential nonlinearities: conditional symmetries and exact solutions." Banach Center Publications 93.1 (2011): 105-115. <http://eudml.org/doc/282061>.
@article{RomanCherniha2011,
abstract = {New Q-conditional symmetries for a class of reaction-diffusion-convection equations with exponential diffusivities are derived. It is shown that the known results for reaction-diffusion equations with exponential diffusivities follow as particular cases from those obtained here but not vice versa. The symmetries obtained are applied to construct exact solutions of the relevant nonlinear equations. An application of exact solutions to solving a boundary-value problem with constant Dirichlet conditions is presented.},
author = {Roman Cherniha, Oleksii Pliukhin},
journal = {Banach Center Publications},
keywords = {reaction-diffusion-convection equations; exponential diffusivities},
language = {eng},
number = {1},
pages = {105-115},
title = {Nonlinear evolution equations with exponential nonlinearities: conditional symmetries and exact solutions},
url = {http://eudml.org/doc/282061},
volume = {93},
year = {2011},
}
TY - JOUR
AU - Roman Cherniha
AU - Oleksii Pliukhin
TI - Nonlinear evolution equations with exponential nonlinearities: conditional symmetries and exact solutions
JO - Banach Center Publications
PY - 2011
VL - 93
IS - 1
SP - 105
EP - 115
AB - New Q-conditional symmetries for a class of reaction-diffusion-convection equations with exponential diffusivities are derived. It is shown that the known results for reaction-diffusion equations with exponential diffusivities follow as particular cases from those obtained here but not vice versa. The symmetries obtained are applied to construct exact solutions of the relevant nonlinear equations. An application of exact solutions to solving a boundary-value problem with constant Dirichlet conditions is presented.
LA - eng
KW - reaction-diffusion-convection equations; exponential diffusivities
UR - http://eudml.org/doc/282061
ER -
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