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Symmetry, Integrability and Geometry: Methods and Applications, 2006, Volume 2, 004, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2006.004 (Mi sigma32) 		 
This article is cited in 8 scientific papers (total in 8 papers)

On Linearizing Systems of Diffusion Equations

Christodoulos Sophocleousa, Ron J. Wiltshireb

a Department of Mathematics and Statistics, University of Cyprus, CY 1678 Nicosia, Cyprus
b The Division of Mathematics and Statistics, The University of Glamorgan, Pontypridd CF37 1DL, Great Britain
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DOI: https://doi.org/10.3842/SIGMA.2006.004
Abstract: We consider systems of diffusion equations that have considerable interest in Soil Science and Mathematical Biology and focus upon the problem of finding those forms of this class that can be linearized. In particular we use the equivalence transformations of the second generation potential system to derive forms of this system that can be linearized. In turn, these transformations lead to nonlocal mappings that linearize the original system.
Keywords: diffusion equations; equivalence transformations; linearization.
Received: November 23, 2005; in final form January 10, 2006; Published online January 16, 2006
Bibliographic databases:
Document Type: Article
MSC: 35A30; 58J70; 58J72; 92B05
Language: English
Citation: Christodoulos Sophocleous, Ron J. Wiltshire, “On Linearizing Systems of Diffusion Equations”, SIGMA, 2 (2006), 004, 11 pp.
Citation in format AMSBIB
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    		Symmetry, Integrability and Geometry: Methods and Applications
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