English

New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. I

Mathematical Physics 2009-11-11 v1 math.MP

Abstract

A complete description of Q-conditional symmetries for two classes of reaction-diffusion-convection equations with power diffusivities is derived. It is shown that all the known results for reaction-diffusion equations with power diffusivities follow as particular cases from those obtained here but not vise versa.

Keywords

Cite

@article{arxiv.math-ph/0612078,
  title  = {New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. I},
  author = {Roman Cherniha and Olexii Pliukhin},
  journal= {arXiv preprint arXiv:math-ph/0612078},
  year   = {2009}
}

Comments

18 pages. submitted