On Linearizing Systems of Diffusion Equations

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 t...

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Бібліографічні деталі
Дата:2006
Автори: Sophocleous, C., Wiltshire, R.G.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2006
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/146430
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:On Linearizing Systems of Diffusion Equations / C. Sophocleous, R.G. Wiltshire // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 10 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Опис
Резюме: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.