The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders
We develop the Cartan – Monge geometric approach to the characteristic method for nonlinear part ial differential equations of the first and higher orders. The Hamiltonian structure of characteristic vector fields related with nonlinear partial differential equations of the first order is analyzed,...
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| Дата: | 2007 |
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| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/7240 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Cartan - Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders / D.L. Blackmore, N.К. Prykarpatska, V.Hr. Samoylenko, E. Wachnicki, M. Pytel-Kudela // Нелінійні коливання. — 2007. — Т. 10, № 1. — С. 26-36. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-7240 |
|---|---|
| record_format |
dspace |
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irk-123456789-72402010-03-26T12:02:00Z The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders Blackmore, D.L. Prykarpatska, N.K. Samoylenko, V.Hr. Wachnicki, E. Pytel-Kudela, M. We develop the Cartan – Monge geometric approach to the characteristic method for nonlinear part ial differential equations of the first and higher orders. The Hamiltonian structure of characteristic vector fields related with nonlinear partial differential equations of the first order is analyzed, the tensor fields of special structure are constructed for defining characteristic vector fields naturally related with nonlinear partial differential equations of higher orders. 2007 Article The Cartan - Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders / D.L. Blackmore, N.К. Prykarpatska, V.Hr. Samoylenko, E. Wachnicki, M. Pytel-Kudela // Нелінійні коливання. — 2007. — Т. 10, № 1. — С. 26-36. — Бібліогр.: 13 назв. — англ. 1562-3076 http://dspace.nbuv.gov.ua/handle/123456789/7240 517.9 en Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We develop the Cartan – Monge geometric approach to the characteristic method for nonlinear part ial differential equations of the first and higher orders. The Hamiltonian structure of characteristic vector fields related with nonlinear partial differential equations of the first order is analyzed, the tensor fields of special structure are constructed for defining characteristic vector fields naturally related with nonlinear partial differential equations of higher orders. |
| format |
Article |
| author |
Blackmore, D.L. Prykarpatska, N.K. Samoylenko, V.Hr. Wachnicki, E. Pytel-Kudela, M. |
| spellingShingle |
Blackmore, D.L. Prykarpatska, N.K. Samoylenko, V.Hr. Wachnicki, E. Pytel-Kudela, M. The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders |
| author_facet |
Blackmore, D.L. Prykarpatska, N.K. Samoylenko, V.Hr. Wachnicki, E. Pytel-Kudela, M. |
| author_sort |
Blackmore, D.L. |
| title |
The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders |
| title_short |
The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders |
| title_full |
The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders |
| title_fullStr |
The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders |
| title_full_unstemmed |
The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders |
| title_sort |
cartan – monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/7240 |
| citation_txt |
The Cartan - Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders / D.L. Blackmore, N.К. Prykarpatska, V.Hr. Samoylenko, E. Wachnicki, M. Pytel-Kudela // Нелінійні коливання. — 2007. — Т. 10, № 1. — С. 26-36. — Бібліогр.: 13 назв. — англ. |
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