Compactons and topological solitons of the Drinfel'd–Sokolov system
This paper presents the Drinfel’d–Sokolov system (shortly D(m, n)) in a detailed fashion. The Jacobi’s elliptic function method is employed to extract the cnoidal and snoidal wave solutions. The compacton and solitary pattern solutions are also retrieved. The ansatz method is applied to extract the...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2014-04-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13682 |
| _version_ | 1818792398682062848 |
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| author | Mustafa Inc Eda Fendoglu Houria Triki Anjan Biswas |
| author_facet | Mustafa Inc Eda Fendoglu Houria Triki Anjan Biswas |
| author_sort | Mustafa Inc |
| collection | DOAJ |
| description | This paper presents the Drinfel’d–Sokolov system (shortly D(m, n)) in a detailed fashion. The Jacobi’s elliptic function method is employed to extract the cnoidal and snoidal wave solutions. The compacton and solitary pattern solutions are also retrieved. The ansatz method is applied to extract the topological 1-soliton solutions of the D(m, n) with generalized evolution. There are a couple of constraint conditions that will fall out in order to exist the topological soliton solutions. |
| first_indexed | 2024-12-18T15:26:37Z |
| format | Article |
| id | doaj.art-852e0d258b76403c9151443cbf6f8105 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-18T15:26:37Z |
| publishDate | 2014-04-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-852e0d258b76403c9151443cbf6f81052022-12-21T21:03:15ZengVilnius University PressNonlinear Analysis1392-51132335-89632014-04-0119210.15388/NA.2014.2.5Compactons and topological solitons of the Drinfel'd–Sokolov systemMustafa Inc0Eda Fendoglu1Houria Triki2Anjan Biswas3Firat University, TurkeyFirat University, TurkeyBadji Mokhtar University, AlgeriaDelaware State University, USAThis paper presents the Drinfel’d–Sokolov system (shortly D(m, n)) in a detailed fashion. The Jacobi’s elliptic function method is employed to extract the cnoidal and snoidal wave solutions. The compacton and solitary pattern solutions are also retrieved. The ansatz method is applied to extract the topological 1-soliton solutions of the D(m, n) with generalized evolution. There are a couple of constraint conditions that will fall out in order to exist the topological soliton solutions.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13682Drinfel’d–Sokolov systemJacobi elliptic functioncompacton and solitary pattern solutionstopological soliton |
| spellingShingle | Mustafa Inc Eda Fendoglu Houria Triki Anjan Biswas Compactons and topological solitons of the Drinfel'd–Sokolov system Nonlinear Analysis Drinfel’d–Sokolov system Jacobi elliptic function compacton and solitary pattern solutions topological soliton |
| title | Compactons and topological solitons of the Drinfel'd–Sokolov system |
| title_full | Compactons and topological solitons of the Drinfel'd–Sokolov system |
| title_fullStr | Compactons and topological solitons of the Drinfel'd–Sokolov system |
| title_full_unstemmed | Compactons and topological solitons of the Drinfel'd–Sokolov system |
| title_short | Compactons and topological solitons of the Drinfel'd–Sokolov system |
| title_sort | compactons and topological solitons of the drinfel d sokolov system |
| topic | Drinfel’d–Sokolov system Jacobi elliptic function compacton and solitary pattern solutions topological soliton |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13682 |
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