{ "id": "math-ph/0612078", "version": "v1", "published": "2006-12-26T13:13:23.000Z", "updated": "2006-12-26T13:13:23.000Z", "title": "New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. I", "authors": [ "Roman Cherniha", "Olexii Pliukhin" ], "comment": "18 pages. submitted", "doi": "10.1088/1751-8113/40/33/009", "categories": [ "math-ph", "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.", "revisions": [ { "version": "v1", "updated": "2006-12-26T13:13:23.000Z" } ], "analyses": { "subjects": [ "35Q80", "35K57" ], "keywords": [ "nonlinear reaction-diffusion-convection equations", "exact solutions", "power diffusivities", "complete description", "reaction-diffusion equations" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 18, "language": "en", "license": "arXiv", "status": "editable" } } }