On the Linearization Covering Technique and Its Application to Integrable Nonlinear Differential Systems

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2018
• 1. Verfasser: Prykarpatski, A.K.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209441
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: On the Linearization Covering Technique and its Application to Integrable Nonlinear Differential Systems / A.K. Prykarpatski // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 32 назв. — англ.

In this letter, I analyze a covering jet manifold scheme, its relation to the invariant theory of the associated vector fields, and applications to the Lax-Sato-type integrability of nonlinear dispersionless differential systems. The related contact geometry linearization covering scheme is also dis...