{ "id": "0902.2290", "version": "v1", "published": "2009-02-13T10:41:21.000Z", "updated": "2009-02-13T10:41:21.000Z", "title": "New conditional symmetries and exact solutions of nonlinear reaction-diffusion-convection equations. III", "authors": [ "Roman Cherniha", "Oleksii Pliukhin" ], "comment": "10 pages", "categories": [ "math-ph", "math.MP" ], "abstract": "A complete description of $Q$-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.", "revisions": [ { "version": "v1", "updated": "2009-02-13T10:41:21.000Z" } ], "analyses": { "keywords": [ "nonlinear reaction-diffusion-convection equations", "conditional symmetries", "exact solutions", "arbitrary power nonlinearities", "convection coefficients" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0902.2290C" } } }