Variational C∞-symmetries and Euler-Lagrange equations

C. Muriel; J. L. Romero; P. J. Olver

doi:10.1016/j.jde.2005.01.012

Variational C^∞-symmetries and Euler-Lagrange equations

C. Muriel, J. L. Romero, P. J. Olver

School of Mathematics

Research output: Contribution to journal › Article › peer-review

51 Scopus citations

Abstract

A generalization of the concept of variational symmetry, based on λ-prolongations, allows us to construct new methods of reduction for Euler-Lagrange equations. An adapted formulation of the Noether's theorem for the new class of symmetries is presented. Some examples illustrate how the method works in practice.

Original language	English (US)
Pages (from-to)	164-184
Number of pages	21
Journal	Journal of Differential Equations
Volume	222
Issue number	1
DOIs	https://doi.org/10.1016/j.jde.2005.01.012
State	Published - Mar 1 2006

Bibliographical note

Funding Information:
∗ Corresponding author. Fax: +1 612 626 2017. E-mail addresses: [email protected] (C. Muriel), [email protected], [email protected] (P.J. Olver). 1Research supported in part by NSF Grant DMS 01-03944.

Keywords

C-symmetry
Euler-Lagrange equation
Noether's theorem
Variational problem

Publisher link

10.1016/j.jde.2005.01.012

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Cite this

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abstract = "A generalization of the concept of variational symmetry, based on λ-prolongations, allows us to construct new methods of reduction for Euler-Lagrange equations. An adapted formulation of the Noether's theorem for the new class of symmetries is presented. Some examples illustrate how the method works in practice.",

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note = "Funding Information: ∗ Corresponding author. Fax: +1 612 626 2017. E-mail addresses: [email protected] (C. Muriel), [email protected], [email protected] (P.J. Olver). 1Research supported in part by NSF Grant DMS 01-03944.",

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KW - Variational problem

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