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

Authors

D. L. Blackmore, New Jersey Institute of Technology
N. K. Prykarpats'Ka, AGH University of Krakow
V. H. Samoilenko, Taras Shevchenko National University of Kyiv
E. Wachnicki, Institute of Mathematics of the Polish Academy of Sciences
M. Pytel-Kudela, AGH University of Krakow

Document Type

Article

Publication Date

1-1-2007

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. © 2007 Springer Science+Business Media, Inc.

Identifier

34547526072 (Scopus)

Publication Title

Nonlinear Oscillations

External Full Text Location

https://doi.org/10.1007/s11072-007-0003-3

e-ISSN

15360059

ISSN

15360059

First Page

22

Last Page

31

Issue

1

Volume

10

Recommended Citation

Blackmore, D. L.; Prykarpats'Ka, N. K.; Samoilenko, V. H.; Wachnicki, E.; and Pytel-Kudela, M., "The Cartan-Monge geometric approach to the characteristic method for nonlinear partial differential equations of the first and higher orders" (2007). Faculty Publications. 13738.
https://digitalcommons.njit.edu/fac_pubs/13738