New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. III
Mathematical Physics
2009-02-16 v1 math.MP
Abstract
A complete description of -conditional symmetries of reaction-diffusion-convection equation with arbitrary power nonlinearities is finished. It is shown that the results obtained in the first and second parts of this work (see arXiv:math-ph/0612078 and arXiv:0706.0814) cannot be extended on new power nonlinearities arising in the diffusion and convection coefficients.
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Cite
@article{arxiv.0902.2290,
title = {New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. III},
author = {Roman Cherniha and Oleksii Pliukhin},
journal= {arXiv preprint arXiv:0902.2290},
year = {2009}
}
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10 pages