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

• Date: 2007
• Main Authors: Blackmore, D.L., Prykarpatska, N.K., Samoylenko, V.Hr., Wachnicki, E., Pytel-Kudela, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/7240
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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,...