A Generalization of the Hopf-Cole Transformation
A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented. The existence of the travelling wave solution and the i...
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2013 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149222 |
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| Цитувати: | A Generalization of the Hopf-Cole Transformation / P. Miškinis // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149222 |
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dspace |
| spelling |
irk-123456789-1492222019-02-20T01:28:32Z A Generalization of the Hopf-Cole Transformation Miškinis, P. A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented. The existence of the travelling wave solution and the interaction of nonlocal perturbation are considered. The nonlocal generalizations of the one-dimensional diffusion equation with quadratic nonlinearity and of the Burgers equation are analyzed. 2013 Article A Generalization of the Hopf-Cole Transformation / P. Miškinis // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 26A33; 35K55; 45K05 DOI: http://dx.doi.org/10.3842/SIGMA.2013.016 http://dspace.nbuv.gov.ua/handle/123456789/149222 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
A generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented. The existence of the travelling wave solution and the interaction of nonlocal perturbation are considered. The nonlocal generalizations of the one-dimensional diffusion equation with quadratic nonlinearity and of the Burgers equation are analyzed. |
| format |
Article |
| author |
Miškinis, P. |
| spellingShingle |
Miškinis, P. A Generalization of the Hopf-Cole Transformation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Miškinis, P. |
| author_sort |
Miškinis, P. |
| title |
A Generalization of the Hopf-Cole Transformation |
| title_short |
A Generalization of the Hopf-Cole Transformation |
| title_full |
A Generalization of the Hopf-Cole Transformation |
| title_fullStr |
A Generalization of the Hopf-Cole Transformation |
| title_full_unstemmed |
A Generalization of the Hopf-Cole Transformation |
| title_sort |
generalization of the hopf-cole transformation |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149222 |
| citation_txt |
A Generalization of the Hopf-Cole Transformation / P. Miškinis // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT miskinisp ageneralizationofthehopfcoletransformation AT miskinisp generalizationofthehopfcoletransformation |
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2023-05-20T17:32:16Z |
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2023-05-20T17:32:16Z |
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1796153515237703680 |