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A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity

First, we studied the invariance properties of the Kadomstev - Petviashvili equation with power law nonlinearity. Then, we determined the complete class of conservation laws and stated the corresponding conserved densities which are useful in finding the conserved quantities of the equation. The poi...

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Main Authors: Bokhari, Ashfaque H., Zaman, Fiazuddin D., Fakhar, Kamran, Kara, Abdul Hamid
Format: Article
Published: Chinese Physical Society and IOP Publishing Ltd. 2011
Subjects:
Q Science
Online Access:http://eprints.utm.my/id/eprint/28594/
http://dx.doi.org/10.1088/0256-307X/28/9/090204
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spelling my.utm.285942019-01-28T03:35:27Z http://eprints.utm.my/id/eprint/28594/ A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity Bokhari, Ashfaque H. Zaman, Fiazuddin D. Fakhar, Kamran Kara, Abdul Hamid Q Science First, we studied the invariance properties of the Kadomstev - Petviashvili equation with power law nonlinearity. Then, we determined the complete class of conservation laws and stated the corresponding conserved densities which are useful in finding the conserved quantities of the equation. The point symmetry generators were also used to reduce the equation to an exact solution and to verify the invariance properties of the conserved flows. Chinese Physical Society and IOP Publishing Ltd. 2011-09 Article PeerReviewed Bokhari, Ashfaque H. and Zaman, Fiazuddin D. and Fakhar, Kamran and Kara, Abdul Hamid (2011) A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity. Chinese Physics Letters, 28 (9). 090204(1)-090204(2). ISSN 0256-307X http://dx.doi.org/10.1088/0256-307X/28/9/090204 DOI:10.1088/0256-307X/28/9/090204
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic Q Science
spellingShingle Q Science
Bokhari, Ashfaque H.
Zaman, Fiazuddin D.
Fakhar, Kamran
Kara, Abdul Hamid
A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity
description First, we studied the invariance properties of the Kadomstev - Petviashvili equation with power law nonlinearity. Then, we determined the complete class of conservation laws and stated the corresponding conserved densities which are useful in finding the conserved quantities of the equation. The point symmetry generators were also used to reduce the equation to an exact solution and to verify the invariance properties of the conserved flows.
format Article
author Bokhari, Ashfaque H.
Zaman, Fiazuddin D.
Fakhar, Kamran
Kara, Abdul Hamid
author_facet Bokhari, Ashfaque H.
Zaman, Fiazuddin D.
Fakhar, Kamran
Kara, Abdul Hamid
author_sort Bokhari, Ashfaque H.
title A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity
title_short A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity
title_full A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity
title_fullStr A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity
title_full_unstemmed A note on the invariance properties and conservation laws of the Kadomstev-Petviashvili equation with power law nonlinearity
title_sort note on the invariance properties and conservation laws of the kadomstev-petviashvili equation with power law nonlinearity
publisher Chinese Physical Society and IOP Publishing Ltd.
publishDate 2011
url http://eprints.utm.my/id/eprint/28594/
http://dx.doi.org/10.1088/0256-307X/28/9/090204
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score 13.18916

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