Conservation Laws of Discrete Korteweg-de Vries Equation
All three-point and five-point conservation laws for the discrete Korteweg-de Vries equations are found. These conservation laws satisfy a functional equation, which we solve by reducing it to a system of partial differential equations. Our method uses computer algebra intensively, because the deter...
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| Опубліковано в: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2005 |
| ISSN: | 1815-0659 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2005
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/209334 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Conservation Laws of Discrete Korteweg-de Vries Equation / O.G. Rasin, P.E. Hydon // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 3 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862590538510761984 |
|---|---|
| author | Rasin, O.G. Hydon, P.E. |
| author_facet | Rasin, O.G. Hydon, P.E. |
| citation_txt | Conservation Laws of Discrete Korteweg-de Vries Equation / O.G. Rasin, P.E. Hydon // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 3 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | All three-point and five-point conservation laws for the discrete Korteweg-de Vries equations are found. These conservation laws satisfy a functional equation, which we solve by reducing it to a system of partial differential equations. Our method uses computer algebra intensively, because the determining functional equation is quite complicated.
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| first_indexed | 2025-11-27T05:14:58Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-209334 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T05:14:58Z |
| publishDate | 2005 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Rasin, O.G. Hydon, P.E. 2025-11-19T12:18:53Z 2005 Conservation Laws of Discrete Korteweg-de Vries Equation / O.G. Rasin, P.E. Hydon // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 3 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 70H33; 37K10; 39A05 https://nasplib.isofts.kiev.ua/handle/123456789/209334 https://doi.org/10.3842/SIGMA.2005.026 All three-point and five-point conservation laws for the discrete Korteweg-de Vries equations are found. These conservation laws satisfy a functional equation, which we solve by reducing it to a system of partial differential equations. Our method uses computer algebra intensively, because the determining functional equation is quite complicated. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Conservation Laws of Discrete Korteweg-de Vries Equation Article published earlier |
| spellingShingle | Conservation Laws of Discrete Korteweg-de Vries Equation Rasin, O.G. Hydon, P.E. |
| title | Conservation Laws of Discrete Korteweg-de Vries Equation |
| title_full | Conservation Laws of Discrete Korteweg-de Vries Equation |
| title_fullStr | Conservation Laws of Discrete Korteweg-de Vries Equation |
| title_full_unstemmed | Conservation Laws of Discrete Korteweg-de Vries Equation |
| title_short | Conservation Laws of Discrete Korteweg-de Vries Equation |
| title_sort | conservation laws of discrete korteweg-de vries equation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/209334 |
| work_keys_str_mv | AT rasinog conservationlawsofdiscretekortewegdevriesequation AT hydonpe conservationlawsofdiscretekortewegdevriesequation |