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Conservation of the cylindrical and elliptic cylindrical K-P equations

We study the invariance properties and exact solutions of the Kadomtsev-Petviashvili equation and construct its conservation laws and that of its transformed elliptic and elliptic-cylindrical versions. Then, it is shown how the conservation laws and related quantities of the transformed versions may...

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Main Authors: Hong, Joseph Boon Zik, Fakhar, Kamran, Ahmad, Shamsuddin, Kara, Abdul Hamid
Format: Article
Published: Natural Sciences Publishing Co. 2015
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/58147/
http://dx.doi.org/10.12785/amis/090211
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spelling my.utm.581472022-04-07T04:07:41Z http://eprints.utm.my/id/eprint/58147/ Conservation of the cylindrical and elliptic cylindrical K-P equations Hong, Joseph Boon Zik Fakhar, Kamran Ahmad, Shamsuddin Kara, Abdul Hamid QA Mathematics We study the invariance properties and exact solutions of the Kadomtsev-Petviashvili equation and construct its conservation laws and that of its transformed elliptic and elliptic-cylindrical versions. Then, it is shown how the conservation laws and related quantities of the transformed versions may be attained by applying the transformation variables as opposed to independent calculations which are often cumbersome for high order partial differential equations of 'many' variables. Natural Sciences Publishing Co. 2015 Article PeerReviewed Hong, Joseph Boon Zik and Fakhar, Kamran and Ahmad, Shamsuddin and Kara, Abdul Hamid (2015) Conservation of the cylindrical and elliptic cylindrical K-P equations. Applied Mathematics and Information Sciences, 9 (2). pp. 631-635. ISSN 1935-0090 http://dx.doi.org/10.12785/amis/090211 DOI:10.12785/amis/090211
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 QA Mathematics
spellingShingle QA Mathematics
Hong, Joseph Boon Zik
Fakhar, Kamran
Ahmad, Shamsuddin
Kara, Abdul Hamid
Conservation of the cylindrical and elliptic cylindrical K-P equations
description We study the invariance properties and exact solutions of the Kadomtsev-Petviashvili equation and construct its conservation laws and that of its transformed elliptic and elliptic-cylindrical versions. Then, it is shown how the conservation laws and related quantities of the transformed versions may be attained by applying the transformation variables as opposed to independent calculations which are often cumbersome for high order partial differential equations of 'many' variables.
format Article
author Hong, Joseph Boon Zik
Fakhar, Kamran
Ahmad, Shamsuddin
Kara, Abdul Hamid
author_facet Hong, Joseph Boon Zik
Fakhar, Kamran
Ahmad, Shamsuddin
Kara, Abdul Hamid
author_sort Hong, Joseph Boon Zik
title Conservation of the cylindrical and elliptic cylindrical K-P equations
title_short Conservation of the cylindrical and elliptic cylindrical K-P equations
title_full Conservation of the cylindrical and elliptic cylindrical K-P equations
title_fullStr Conservation of the cylindrical and elliptic cylindrical K-P equations
title_full_unstemmed Conservation of the cylindrical and elliptic cylindrical K-P equations
title_sort conservation of the cylindrical and elliptic cylindrical k-p equations
publisher Natural Sciences Publishing Co.
publishDate 2015
url http://eprints.utm.my/id/eprint/58147/
http://dx.doi.org/10.12785/amis/090211
_version_ 1729703226057424896
score 13.211869

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