Symmetries of Vector Exterior Differential Systems and the Inverse Problem in Second-Order Ostrograds'kii Mechanics

DOI10.2991/jnmp.1997.4.1-2.9zbMath0957.58003arXiv1406.5877OpenAlexW2121762082MaRDI QIDQ4501179

Roman Ya. Matsyuk, Leonid F. Barannyk, Halyna Lahno

Publication date: 3 September 2000

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.5877

zbMATH Keywords

Euler-Lagrange equationexterior differential systemsinfinitesimal summetrynew invariant exact solutions

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Variational principles in infinite-dimensional spaces (58E30) Invariance and symmetry properties for PDEs on manifolds (58J70) Exterior differential systems (Cartan theory) (58A15) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05)