Open Access
2012 Equivalent Lagrangians: Generalization, Transformation Maps, and Applications
N. Wilson, A. H. Kara
J. Appl. Math. 2012(SI14): 1-19 (2012). DOI: 10.1155/2012/860482


Equivalent Lagrangians are used to find, via transformations, solutions and conservation laws of a given differential equation by exploiting the possible existence of an isomorphic algebra of Lie point symmetries and, more particularly, an isomorphic Noether point symmetry algebra. Applications include ordinary differential equations such as the Kummer equation and the combined gravity-inertial-Rossbywave equation and certain classes of partial differential equations related to multidimensional wave equations.


Download Citation

N. Wilson. A. H. Kara. "Equivalent Lagrangians: Generalization, Transformation Maps, and Applications." J. Appl. Math. 2012 (SI14) 1 - 19, 2012.


Published: 2012
First available in Project Euclid: 3 January 2013

zbMATH: 1322.35001
MathSciNet: MR2997239
Digital Object Identifier: 10.1155/2012/860482

Rights: Copyright © 2012 Hindawi

Vol.2012 • No. SI14 • 2012
Back to Top