Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity
The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear and nonlinear Fokker-Plank-Kolmogorov equations is considered. Illustrative ex...
Збережено в:
| Дата: | 2007 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147811 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity / A.V. Shapovalov, R.O. Rezaev and A.Yu. Trifonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 33 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147811 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1478112019-02-17T01:27:58Z Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity Shapovalov, A.V. Rezaev, R.O. Trifonov, A.Yu. The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear and nonlinear Fokker-Plank-Kolmogorov equations is considered. Illustrative examples of the one-dimensional symmetry operators are presented. 2007 Article Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity / A.V. Shapovalov, R.O. Rezaev and A.Yu. Trifonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 33 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35Q58; 37J15 http://dspace.nbuv.gov.ua/handle/123456789/147811 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 |
The Cauchy problem for the Fokker-Plank-Kolmogorov equation with a nonlocal nonlinear drift term is reduced to a similar problem for the correspondent linear equation. The relation between symmetry operators of the linear and nonlinear Fokker-Plank-Kolmogorov equations is considered. Illustrative examples of the one-dimensional symmetry operators are presented. |
| format |
Article |
| author |
Shapovalov, A.V. Rezaev, R.O. Trifonov, A.Yu. |
| spellingShingle |
Shapovalov, A.V. Rezaev, R.O. Trifonov, A.Yu. Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Shapovalov, A.V. Rezaev, R.O. Trifonov, A.Yu. |
| author_sort |
Shapovalov, A.V. |
| title |
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity |
| title_short |
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity |
| title_full |
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity |
| title_fullStr |
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity |
| title_full_unstemmed |
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity |
| title_sort |
symmetry operators for the fokker-plank-kolmogorov equation with nonlocal quadratic nonlinearity |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147811 |
| citation_txt |
Symmetry Operators for the Fokker-Plank-Kolmogorov Equation with Nonlocal Quadratic Nonlinearity / A.V. Shapovalov, R.O. Rezaev and A.Yu. Trifonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 33 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT shapovalovav symmetryoperatorsforthefokkerplankkolmogorovequationwithnonlocalquadraticnonlinearity AT rezaevro symmetryoperatorsforthefokkerplankkolmogorovequationwithnonlocalquadraticnonlinearity AT trifonovayu symmetryoperatorsforthefokkerplankkolmogorovequationwithnonlocalquadraticnonlinearity |
| first_indexed |
2023-05-20T17:28:34Z |
| last_indexed |
2023-05-20T17:28:34Z |
| _version_ |
1796153390263173120 |