Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations
We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and (2+1)-dimensional Davey-Stewartson equations. The Lie symmetry method is utilized to obtain exact solutions of the generalized Boussinesq-Burgers equations. The travelling w...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/389017 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850211597776060416 |
|---|---|
| author | Isaiah Elvis Mhlanga Chaudry Masood Khalique |
| author_facet | Isaiah Elvis Mhlanga Chaudry Masood Khalique |
| author_sort | Isaiah Elvis Mhlanga |
| collection | DOAJ |
| description | We study two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and (2+1)-dimensional Davey-Stewartson equations. The Lie symmetry method is utilized to obtain exact solutions of the generalized Boussinesq-Burgers equations. The travelling wave hypothesis approach is used to find exact solutions of the (2+1)-dimensional Davey-Stewartson equations. |
| format | Article |
| id | doaj-art-8823e82e91134be5a07fcc24a95f571b |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-8823e82e91134be5a07fcc24a95f571b2025-08-20T02:09:31ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/389017389017Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson EquationsIsaiah Elvis Mhlanga0Chaudry Masood Khalique1International 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 two coupled systems of nonlinear partial differential equations, namely, generalized Boussinesq-Burgers equations and (2+1)-dimensional Davey-Stewartson equations. The Lie symmetry method is utilized to obtain exact solutions of the generalized Boussinesq-Burgers equations. The travelling wave hypothesis approach is used to find exact solutions of the (2+1)-dimensional Davey-Stewartson equations.http://dx.doi.org/10.1155/2012/389017 |
| spellingShingle | Isaiah Elvis Mhlanga Chaudry Masood Khalique Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations Journal of Applied Mathematics |
| title | Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations |
| title_full | Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations |
| title_fullStr | Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations |
| title_full_unstemmed | Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations |
| title_short | Exact Solutions of Generalized Boussinesq-Burgers Equations and (2+1)-Dimensional Davey-Stewartson Equations |
| title_sort | exact solutions of generalized boussinesq burgers equations and 2 1 dimensional davey stewartson equations |
| url | http://dx.doi.org/10.1155/2012/389017 |
| work_keys_str_mv | AT isaiahelvismhlanga exactsolutionsofgeneralizedboussinesqburgersequationsand21dimensionaldaveystewartsonequations AT chaudrymasoodkhalique exactsolutionsofgeneralizedboussinesqburgersequationsand21dimensionaldaveystewartsonequations |