Abstract
The nonclassical symmetries method is applied to a class of reaction-diffusion equations with nonlinear source, i.e. ut = uxx + cux + R(u,x). Several cases are obtained by using suitable solutions of the heir-equations as described in [M.C. Nucci, Nonclassical symmetries as special solutions of heir-equations, J. Math. Anal. Appl. 279 (2003) 168–179].
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Hashemi, M.S., Nucci, M.C. Nonclassical Symmetries for a Class of Reaction-Diffusion Equations: the Method of Heir-Equations. J Nonlinear Math Phys 20, 44–60 (2013). https://doi.org/10.1080/14029251.2013.792469
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DOI: https://doi.org/10.1080/14029251.2013.792469