The symmetries and conservation laws of some Gordon-type equations in Milne space-time

S. Jamal; A. H. Kara; A. H. Bokhari; F. D. Zaman

doi:10.1007/s12043-013-0518-3

The symmetries and conservation laws of some Gordon-type equations in Milne space-time

S. Jamal
, A. H. Kara^*
, A. H. Bokhari
, F. D. Zaman

^*Corresponding author for this work

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

5 Scopus citations

Abstract

In this letter, the Lie point symmetries of a class of Gordon-type wave equations that arise in the Milne space-time are presented and analysed. Using the Lie point symmetries, it is showed how to reduce Gordon-type wave equations using the method of invariants, and to obtain exact solutions corresponding to some boundary values. The Noether point symmetries and conservation laws are obtained for the Klein-Gordon equation in one case. Finally, the existence of higherorder variational symmetries of a projection of the Klein-Gordon equation is investigated using the multiplier approach.

Original language	English
Pages (from-to)	739-755
Number of pages	17
Journal	Pramana - Journal of Physics
Volume	80
Issue number	5
DOIs	https://doi.org/10.1007/s12043-013-0518-3
State	Published - May 2013

Keywords

Conservation laws
Gordon-type equations
Milne space-time

ASJC Scopus subject areas

General Physics and Astronomy

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10.1007/s12043-013-0518-3

Cite this

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title = "The symmetries and conservation laws of some Gordon-type equations in Milne space-time",

abstract = "In this letter, the Lie point symmetries of a class of Gordon-type wave equations that arise in the Milne space-time are presented and analysed. Using the Lie point symmetries, it is showed how to reduce Gordon-type wave equations using the method of invariants, and to obtain exact solutions corresponding to some boundary values. The Noether point symmetries and conservation laws are obtained for the Klein-Gordon equation in one case. Finally, the existence of higherorder variational symmetries of a projection of the Klein-Gordon equation is investigated using the multiplier approach.",

keywords = "Conservation laws, Gordon-type equations, Milne space-time",

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AU - Jamal, S.

AU - Kara, A. H.

AU - Bokhari, A. H.

AU - Zaman, F. D.

PY - 2013/5

Y1 - 2013/5

N2 - In this letter, the Lie point symmetries of a class of Gordon-type wave equations that arise in the Milne space-time are presented and analysed. Using the Lie point symmetries, it is showed how to reduce Gordon-type wave equations using the method of invariants, and to obtain exact solutions corresponding to some boundary values. The Noether point symmetries and conservation laws are obtained for the Klein-Gordon equation in one case. Finally, the existence of higherorder variational symmetries of a projection of the Klein-Gordon equation is investigated using the multiplier approach.

AB - In this letter, the Lie point symmetries of a class of Gordon-type wave equations that arise in the Milne space-time are presented and analysed. Using the Lie point symmetries, it is showed how to reduce Gordon-type wave equations using the method of invariants, and to obtain exact solutions corresponding to some boundary values. The Noether point symmetries and conservation laws are obtained for the Klein-Gordon equation in one case. Finally, the existence of higherorder variational symmetries of a projection of the Klein-Gordon equation is investigated using the multiplier approach.

KW - Conservation laws

KW - Gordon-type equations

KW - Milne space-time

UR - https://www.scopus.com/pages/publications/84877691813

U2 - 10.1007/s12043-013-0518-3

DO - 10.1007/s12043-013-0518-3

M3 - Article

AN - SCOPUS:84877691813

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VL - 80

SP - 739

EP - 755

JO - Pramana - Journal of Physics

JF - Pramana - Journal of Physics

IS - 5

ER -

The symmetries and conservation laws of some Gordon-type equations in Milne space-time

Abstract

Keywords

ASJC Scopus subject areas

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