Conservation Laws for a Variable Coefficient Variant Boussinesq System
We construct the conservation laws for a variable coefficient variant Boussinesq system, which is a third-order system of two partial differential equations. This system does not have a Lagrangian and so we transform it to a system of fourth-order, which admits a Lagrangian. Noether’s approach is th...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/169694 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850170680908185600 |
|---|---|
| author | Ben Muatjetjeja Chaudry Masood Khalique |
| author_facet | Ben Muatjetjeja Chaudry Masood Khalique |
| author_sort | Ben Muatjetjeja |
| collection | DOAJ |
| description | We construct the conservation laws for a variable coefficient variant Boussinesq system, which is a third-order system of two partial differential equations. This system does not have a Lagrangian and so we transform it to a system of fourth-order, which admits a Lagrangian. Noether’s approach is then utilized to obtain the conservation laws. Lastly, the conservation laws are presented in terms of the original variables. Infinite numbers of both local and nonlocal conserved quantities are derived for the underlying system. |
| format | Article |
| id | doaj-art-9b686a4578a04b558dfcee4bc482ad4f |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9b686a4578a04b558dfcee4bc482ad4f2025-08-20T02:20:26ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/169694169694Conservation Laws for a Variable Coefficient Variant Boussinesq SystemBen Muatjetjeja0Chaudry Masood Khalique1Department of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaDepartment of Mathematical Sciences, International Institute for Symmetry Analysis and Mathematical Modelling, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South AfricaWe construct the conservation laws for a variable coefficient variant Boussinesq system, which is a third-order system of two partial differential equations. This system does not have a Lagrangian and so we transform it to a system of fourth-order, which admits a Lagrangian. Noether’s approach is then utilized to obtain the conservation laws. Lastly, the conservation laws are presented in terms of the original variables. Infinite numbers of both local and nonlocal conserved quantities are derived for the underlying system.http://dx.doi.org/10.1155/2014/169694 |
| spellingShingle | Ben Muatjetjeja Chaudry Masood Khalique Conservation Laws for a Variable Coefficient Variant Boussinesq System Abstract and Applied Analysis |
| title | Conservation Laws for a Variable Coefficient Variant Boussinesq System |
| title_full | Conservation Laws for a Variable Coefficient Variant Boussinesq System |
| title_fullStr | Conservation Laws for a Variable Coefficient Variant Boussinesq System |
| title_full_unstemmed | Conservation Laws for a Variable Coefficient Variant Boussinesq System |
| title_short | Conservation Laws for a Variable Coefficient Variant Boussinesq System |
| title_sort | conservation laws for a variable coefficient variant boussinesq system |
| url | http://dx.doi.org/10.1155/2014/169694 |
| work_keys_str_mv | AT benmuatjetjeja conservationlawsforavariablecoefficientvariantboussinesqsystem AT chaudrymasoodkhalique conservationlawsforavariablecoefficientvariantboussinesqsystem |