On a certain invariant of differential equations associated with nilpotent graded Lie algebras
Year: 2018
Type: article
Abstract: In this paper, we provide a new invariant for partial differential equations (PDEs) under contact transformations by using nilpotent graded Lie algebras. By virtue of this invariant, various geometric behavior of PDEs can be understood. As a typical class, we clarify geometric behavior of second-order PDEs in terms of our invariant.
Source: Hokkaido Mathematical Journal
Author: Takahiro NODA
Institution: Kyushu Institute of Technology
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2893561149