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
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Official URL: http://dx.doi.org/10.12785/amis/090211
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | conservation laws, cylindrical and elliptic cylindrical kadomtsev-petviashvili equation, lie symmetries, reduction |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 58147 |
| Deposited By: | Haliza Zainal |
| Deposited On: | 04 Dec 2016 04:07 |
| Last Modified: | 07 Apr 2022 04:07 |
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