Nonlinear evolution equations with exponential nonlinearities: conditional symmetries and exact solutions

• Autorzy: Roman Cherniha , Oleksii Pliukhin
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35Q92: PDEs in connection with biology and other natural sciences
• 22E70: Applications of Lie groups to physics; explicit representations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 93
• Numer: 1
• Strony: 105-115

Daty

wydano

2011

Twórcy

autor

Roman Cherniha

• Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivs'ka Street 3, Kyiv 01601, Ukraine
• Department of Mathematics, National University, 'Kyiv-Mohyla Academy', Skovoroda Street 2, Kyiv 04070, Ukraine

autor

Oleksii Pliukhin

• Department of Mathematics, National Technical University, Pershotravnevyi Prospekt 24, Poltava, Ukraine

Identyfikatory

DOI

10.4064/bc93-0-9