Multitime Hamilton-Jacobi Theory

Udriste C., Matei L., Duca I.

9th WSEAS International Conference on Systems Theory and Scientific Computation, Moscow, Russia, 20 - 22 August 2009, pp.129-131 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Moscow
  • Country: Russia
  • Page Numbers: pp.129-131
  • Istanbul Technical University Affiliated: No

Abstract

This paper combines some ideas to obtain the multitime variants of Hamilton-Jacobi theory. Section I introduces some Riemannian first order jet bundles. Section 2 describes the multitime Hamilton-Jacobi PDE system connected to the path independent curvilinear integral action. Section 3 analyzes the multitime Hamilton-Jacobl divergence PDE connected to multiple integral action. Section 4 studies the harmonic map Lagrangian. Section 5 underlines the novelty of our results.