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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2006 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146430 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| _version_ | 1862543829207351296 |
|---|---|
| author | Sophocleous, C. Wiltshire, R.G. |
| author_facet | Sophocleous, C. Wiltshire, R.G. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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.
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| first_indexed | 2025-11-24T21:43:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146430 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-24T21:43:13Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sophocleous, C. Wiltshire, R.G. 2019-02-09T16:58:43Z 2019-02-09T16:58:43Z 2006 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. 1815-0659 2000 Mathematics Subject Classification: 35A30; 58J70; 58J72; 92B05 https://nasplib.isofts.kiev.ua/handle/123456789/146430 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. Both authors wish to acknowledge the financial support of this project by their two Universities. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Linearizing Systems of Diffusion Equations Article published earlier |
| spellingShingle | On Linearizing Systems of Diffusion Equations Sophocleous, C. Wiltshire, R.G. |
| title | On Linearizing Systems of Diffusion Equations |
| title_full | On Linearizing Systems of Diffusion Equations |
| title_fullStr | On Linearizing Systems of Diffusion Equations |
| title_full_unstemmed | On Linearizing Systems of Diffusion Equations |
| title_short | On Linearizing Systems of Diffusion Equations |
| title_sort | on linearizing systems of diffusion equations |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146430 |
| work_keys_str_mv | AT sophocleousc onlinearizingsystemsofdiffusionequations AT wiltshirerg onlinearizingsystemsofdiffusionequations |