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

2009/02/13 by Roman Cherniha, Cherniha, Roman, Oleksii Pliukhin +1
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0902.2290

openalex publication_date 2009/02/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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