The Cartan – Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders

• Дата: 2007
• Автори: Blackmore, D.L., Prykarpatska, N.K., Samoylenko, V.Hr., Wachnicki, E., Pytel-Kudela, M.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2007
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/7240
• 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.

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,...