Generalised variational derivatives in field theory
- 1 February 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (2) , 689-700
- https://doi.org/10.1088/0305-4470/13/2/031
Abstract
A new class of variational derivatives is used to deduce several algebraic properties of Lie-Backlund in the context of the variational formalism. Applications to the conservation theorems in the Lagrangian and the Hamiltonian formalisms are given.Keywords
This publication has 7 references indexed in Scilit:
- Kernels and ranges in the variational formalismLetters in Mathematical Physics, 1978
- On the relationship between conservation laws and invariance groups of nonlinear field equations in Hamilton’s canonical formJournal of Mathematical Physics, 1978
- Group theoretical nature of conservation theoremsLetters in Mathematical Physics, 1977
- Group theoretic aspects of conservation laws of nonlinear dispersive waves: KdV type equations and nonlinear Schrödinger equationsJournal of Mathematical Physics, 1977
- Invariance transformations, invariance group transformations, and invariance groups of the sine-Gordon equationsJournal of Mathematical Physics, 1975
- Zur Umkehrung des NOETHERschen SatzesAnnalen der Physik, 1967
- Hamilton's Principle and the Conservation Theorems of Mathematical PhysicsReviews of Modern Physics, 1951