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15 February 2025
 
  » arxiv » 1508.0167

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Similarity solutions of Reaction-Diffusion equation with space- and time-dependent diffusion and reaction terms
C.-L. Ho ; C.-C. Lee ;
Date 1 Aug 2015
AbstractWe consider solvability of the generalized reaction-diffusion equation with both space- and time-dependent diffusion and reaction terms by means of the similarity method. By introducing the similarity variable, the reaction-diffusion equation is reduced to an ordinary differential equation. Matching the resulting ordinary differential equation with known exactly solvable equations, one can obtain corresponding exactly solvable reaction-diffusion systems. Several representative examples of exactly solvable reaction-diffusion equations are presented.
Source arXiv, 1508.0167
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