Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System
We study the Drinfel'd-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the (G′/G)-expansion method. In addition to exact solutions we also construct conservation laws for the underlying system using Noether's app...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/271960 |
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| author | Catherine Matjila Ben Muatjetjeja Chaudry Masood Khalique |
| author_facet | Catherine Matjila Ben Muatjetjeja Chaudry Masood Khalique |
| author_sort | Catherine Matjila |
| collection | DOAJ |
| description | We study the Drinfel'd-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the (G′/G)-expansion method. In addition to exact solutions we also construct conservation laws for the underlying system using Noether's approach. |
| format | Article |
| id | doaj-art-b7fdce221d924afeb8cad20e5f462666 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-b7fdce221d924afeb8cad20e5f4626662025-08-20T03:22:45ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/271960271960Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson SystemCatherine Matjila0Ben Muatjetjeja1Chaudry Masood Khalique2International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaInternational Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaWe study the Drinfel'd-Sokolov-Wilson system, which was introduced as a model of water waves. Firstly we obtain exact solutions of this system using the (G′/G)-expansion method. In addition to exact solutions we also construct conservation laws for the underlying system using Noether's approach.http://dx.doi.org/10.1155/2014/271960 |
| spellingShingle | Catherine Matjila Ben Muatjetjeja Chaudry Masood Khalique Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System Abstract and Applied Analysis |
| title | Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System |
| title_full | Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System |
| title_fullStr | Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System |
| title_full_unstemmed | Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System |
| title_short | Exact Solutions and Conservation Laws of the Drinfel’d-Sokolov-Wilson System |
| title_sort | exact solutions and conservation laws of the drinfel d sokolov wilson system |
| url | http://dx.doi.org/10.1155/2014/271960 |
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