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HAMILTON-JACOBI SYSTEM OF PDES GOVERNED BY HIGHER-ORDER LAGRANGIANS
Author(s) : Savin Treanţă
Pages : [1] - [15]
Received : February 7, 2017; Revised March 7, 2017
Communicated by : Professor Lubin Georgiev Vulkov
Pages : [1] - [15]
Received : February 7, 2017; Revised March 7, 2017
Communicated by : Professor Lubin Georgiev Vulkov
Abstract
This paper aims to present some aspects of Hamilton-Jacobi theory involving higher-order Lagrangians. More precisely, using a non-standard Legendrian duality, we investigate: Hamilton-Jacobi PDE and Hamilton-Jacobi system of PDEs.
Keywords
Hamilton-Jacobi PDE, Hamilton-Jacobi system of PDEs, generating function, non-standard Legendrian duality, multi-time.