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

D. L. Blackmore, N. K. Prykarpats'Ka, V. H. Samoilenko, E. Wachnicki, M. Pytel-Kudela

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We develop the Cartan-Monge geometric approach to the characteristic method for nonlinear partial 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, and tensor fields of special structure are constructed for defining characteristic vector fields naturally related with nonlinear partial differential equations of higher orders.

Original languageEnglish (US)
Pages (from-to)22-31
Number of pages10
JournalNonlinear Oscillations
Volume10
Issue number1
DOIs
StatePublished - Jan 2007

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

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