Volume 9, Issue 3, August 2002, Pages 256 - 261
A Universal Solution
Authors
D.B. Fairlie
Corresponding Author
D.B. Fairlie
Received 7 January 2002, Revised 2 April 2002, Accepted 4 April 2002, Available Online 1 August 2002.
- DOI
- 10.2991/jnmp.2002.9.3.2How to use a DOI?
- Abstract
The phenomenon of an implicit function which solves a large set of second order partial differential equations obtainable from a variational principle is explicated by the introduction of a class of universal solutions to the equations derivable from an arbitrary Lagrangian which is homogeneous of weight one in the field derivatives. This result is extended to many fields. The imposition of Lorentz invariance makes such Lagrangians unique, and equivalent to the Companion Lagrangians introduced in [1].
- Copyright
- © 2006, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - D.B. Fairlie PY - 2002 DA - 2002/08/01 TI - A Universal Solution JO - Journal of Nonlinear Mathematical Physics SP - 256 EP - 261 VL - 9 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.3.2 DO - 10.2991/jnmp.2002.9.3.2 ID - Fairlie2002 ER -