Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid
Two nonlinear evolution equations, namely the Kadomtsev-Petviashvili (KP) equation which describes the dynamics of soliton and nonlinear wave in the field of fluid dynamics, plasma physics and the Oskolkov equation which describes the dynamics of an incompressible visco-elastic Kelvin-Voigt fluid ar...
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| Format: | Article |
| Language: | English |
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Elsevier
2018-08-01
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| Series: | Heliyon |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844017340100 |
| _version_ | 1830483514422722560 |
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| author | Md. Mamunur Roshid Harun-Or Roshid |
| author_facet | Md. Mamunur Roshid Harun-Or Roshid |
| author_sort | Md. Mamunur Roshid |
| collection | DOAJ |
| description | Two nonlinear evolution equations, namely the Kadomtsev-Petviashvili (KP) equation which describes the dynamics of soliton and nonlinear wave in the field of fluid dynamics, plasma physics and the Oskolkov equation which describes the dynamics of an incompressible visco-elastic Kelvin-Voigt fluid are investigated. We deliberate exact traveling wave solutions, specially kink wave, cusp wave, periodic breather waves and periodic wave solutions of the models applying the modified simple equation method. The solutions can be expressed explicitly. The dynamics of obtained wave solutions are analyzed and illustrated in figures by selecting appropriate parameters. The modified simple equation method is reliable treatment for searching essential nonlinear waves that enrich variety of dynamic models arises in engineering fields. |
| first_indexed | 2024-12-21T17:53:34Z |
| format | Article |
| id | doaj.art-e29cfd87eafe4cf9b5b93b50ced5cdb2 |
| institution | Directory Open Access Journal |
| issn | 2405-8440 |
| language | English |
| last_indexed | 2024-12-21T17:53:34Z |
| publishDate | 2018-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj.art-e29cfd87eafe4cf9b5b93b50ced5cdb22022-12-21T18:55:17ZengElsevierHeliyon2405-84402018-08-0148e00756Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluidMd. Mamunur Roshid0Harun-Or Roshid1Corresponding author.; Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, BangladeshDepartment of Mathematics, Pabna University of Science and Technology, Pabna-6600, BangladeshTwo nonlinear evolution equations, namely the Kadomtsev-Petviashvili (KP) equation which describes the dynamics of soliton and nonlinear wave in the field of fluid dynamics, plasma physics and the Oskolkov equation which describes the dynamics of an incompressible visco-elastic Kelvin-Voigt fluid are investigated. We deliberate exact traveling wave solutions, specially kink wave, cusp wave, periodic breather waves and periodic wave solutions of the models applying the modified simple equation method. The solutions can be expressed explicitly. The dynamics of obtained wave solutions are analyzed and illustrated in figures by selecting appropriate parameters. The modified simple equation method is reliable treatment for searching essential nonlinear waves that enrich variety of dynamic models arises in engineering fields.http://www.sciencedirect.com/science/article/pii/S2405844017340100Applied mathematicsPlasma physics |
| spellingShingle | Md. Mamunur Roshid Harun-Or Roshid Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid Heliyon Applied mathematics Plasma physics |
| title | Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid |
| title_full | Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid |
| title_fullStr | Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid |
| title_full_unstemmed | Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid |
| title_short | Exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic Kelvin-Voigt fluid |
| title_sort | exact and explicit traveling wave solutions to two nonlinear evolution equations which describe incompressible viscoelastic kelvin voigt fluid |
| topic | Applied mathematics Plasma physics |
| url | http://www.sciencedirect.com/science/article/pii/S2405844017340100 |
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