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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2005 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2005
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209334 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
| title |
Conservation Laws of Discrete Korteweg-de Vries Equation |
| spellingShingle |
Conservation Laws of Discrete Korteweg-de Vries Equation Rasin, O.G. Hydon, P.E. |
| title_short |
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_sort |
conservation laws of discrete korteweg-de vries equation |
| author |
Rasin, O.G. Hydon, P.E. |
| author_facet |
Rasin, O.G. Hydon, P.E. |
| publishDate |
2005 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/209334 |
| 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. |
| work_keys_str_mv |
AT rasinog conservationlawsofdiscretekortewegdevriesequation AT hydonpe conservationlawsofdiscretekortewegdevriesequation |
| first_indexed |
2025-11-27T05:14:58Z |
| last_indexed |
2025-11-27T05:14:58Z |
| _version_ |
1850885958138855424 |