Solitary wave solutions of the Vakhnenko–Parkes equation
In this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained. The parameter regimes, for the existence of solitary waves, are identified dur...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2012-01-01
|
| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14078 |
| _version_ | 1811330422443868160 |
|---|---|
| author | Fayequa Majid Houria Triki Tasawar Hayat Omar M. Aldossary Anjan Biswas |
| author_facet | Fayequa Majid Houria Triki Tasawar Hayat Omar M. Aldossary Anjan Biswas |
| author_sort | Fayequa Majid |
| collection | DOAJ |
| description | In this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained. The parameter regimes, for the existence of solitary waves, are identified during the derivation of the solution. |
| first_indexed | 2024-04-13T16:01:09Z |
| format | Article |
| id | doaj.art-d898ba08566c4619b198744dc1a63e90 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-04-13T16:01:09Z |
| publishDate | 2012-01-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-d898ba08566c4619b198744dc1a63e902022-12-22T02:40:32ZengVilnius University PressNonlinear Analysis1392-51132335-89632012-01-01171Solitary wave solutions of the Vakhnenko–Parkes equationFayequa Majid0Houria Triki1Tasawar Hayat2Omar M. Aldossary3Anjan Biswas4Alabama Agricultural and Mechanical University, USABadji Mokhtar University, AlgeriaQaid-i-Azam University, PakistanKing Saud University, Saudi ArabiaDelaware State University, USAIn this paper, two solitary wave solutions are obtained for the Vakhnenko–Parkes equation with power law nonlinearity by the ansatz method. Both topological as well as non-topological solitary wave solutions are obtained. The parameter regimes, for the existence of solitary waves, are identified during the derivation of the solution.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14078nonlinear evolution equationsolitonsintegrability |
| spellingShingle | Fayequa Majid Houria Triki Tasawar Hayat Omar M. Aldossary Anjan Biswas Solitary wave solutions of the Vakhnenko–Parkes equation Nonlinear Analysis nonlinear evolution equation solitons integrability |
| title | Solitary wave solutions of the Vakhnenko–Parkes equation |
| title_full | Solitary wave solutions of the Vakhnenko–Parkes equation |
| title_fullStr | Solitary wave solutions of the Vakhnenko–Parkes equation |
| title_full_unstemmed | Solitary wave solutions of the Vakhnenko–Parkes equation |
| title_short | Solitary wave solutions of the Vakhnenko–Parkes equation |
| title_sort | solitary wave solutions of the vakhnenko parkes equation |
| topic | nonlinear evolution equation solitons integrability |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14078 |
| work_keys_str_mv | AT fayequamajid solitarywavesolutionsofthevakhnenkoparkesequation AT houriatriki solitarywavesolutionsofthevakhnenkoparkesequation AT tasawarhayat solitarywavesolutionsofthevakhnenkoparkesequation AT omarmaldossary solitarywavesolutionsofthevakhnenkoparkesequation AT anjanbiswas solitarywavesolutionsofthevakhnenkoparkesequation |