Symmetries, conservation laws, and wave equation on the milne metric

Ahmad M. Ahmad; Ashfaque H. Bokhari; F. D. Zaman

doi:10.1155/2012/153817

Symmetries, conservation laws, and wave equation on the milne metric

Ahmad M. Ahmad, Ashfaque H. Bokhari^*, F. D. Zaman

^*Corresponding author for this work

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

2 Scopus citations

Abstract

Noether symmetries provide conservation laws that are admitted by Lagrangians representing physical systems. For partial differential equation possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. In this paper we provide a systematic procedure for determining Noether symmetries and conserved vectors for a Lagrangian constructed from a Lorentzian metric of interest in mathematical physics. For completeness, we give Lie point symmetries and conservation laws admitted by the wave equation on this Lorentzian metric.

Original language	English
Article number	153817
Journal	Journal of Applied Mathematics
Volume	2012
DOIs	https://doi.org/10.1155/2012/153817
State	Published - 2012

ASJC Scopus subject areas

Applied Mathematics

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title = "Symmetries, conservation laws, and wave equation on the milne metric",

abstract = "Noether symmetries provide conservation laws that are admitted by Lagrangians representing physical systems. For partial differential equation possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. In this paper we provide a systematic procedure for determining Noether symmetries and conserved vectors for a Lagrangian constructed from a Lorentzian metric of interest in mathematical physics. For completeness, we give Lie point symmetries and conservation laws admitted by the wave equation on this Lorentzian metric.",

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year = "2012",

doi = "10.1155/2012/153817",

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journal = "Journal of Applied Mathematics",

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T1 - Symmetries, conservation laws, and wave equation on the milne metric

AU - Ahmad, Ahmad M.

AU - Bokhari, Ashfaque H.

AU - Zaman, F. D.

PY - 2012

Y1 - 2012

N2 - Noether symmetries provide conservation laws that are admitted by Lagrangians representing physical systems. For partial differential equation possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. In this paper we provide a systematic procedure for determining Noether symmetries and conserved vectors for a Lagrangian constructed from a Lorentzian metric of interest in mathematical physics. For completeness, we give Lie point symmetries and conservation laws admitted by the wave equation on this Lorentzian metric.

AB - Noether symmetries provide conservation laws that are admitted by Lagrangians representing physical systems. For partial differential equation possessing Lagrangians these symmetries are obtained by the invariance of the corresponding action integral. In this paper we provide a systematic procedure for determining Noether symmetries and conserved vectors for a Lagrangian constructed from a Lorentzian metric of interest in mathematical physics. For completeness, we give Lie point symmetries and conservation laws admitted by the wave equation on this Lorentzian metric.

UR - https://www.scopus.com/pages/publications/84872816323

U2 - 10.1155/2012/153817

DO - 10.1155/2012/153817

M3 - Article

AN - SCOPUS:84872816323

SN - 1110-757X

VL - 2012

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

M1 - 153817

ER -

Symmetries, conservation laws, and wave equation on the milne metric

Abstract

ASJC Scopus subject areas

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