Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methods
The Schamel Burgers’ equation is a nonlinear partial differential equation which produces the shock type traveling waves in extraordinary physical situations. Previously, this sort of equation is solved with well known tan−hyperbolicmethod. In this paper, we present the exact solutions of the Schame...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-02-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721010937 |
| _version_ | 1818950387037634560 |
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| author | Sanjaya Kr. Mohanty Oleg V. Kravchenko Apul N. Dev |
| author_facet | Sanjaya Kr. Mohanty Oleg V. Kravchenko Apul N. Dev |
| author_sort | Sanjaya Kr. Mohanty |
| collection | DOAJ |
| description | The Schamel Burgers’ equation is a nonlinear partial differential equation which produces the shock type traveling waves in extraordinary physical situations. Previously, this sort of equation is solved with well known tan−hyperbolicmethod. In this paper, we present the exact solutions of the Schamel Burgers’ equation using generalized-improved G′Gand generalized G′Gexpansion methods with the assistance of Mathematica-12 and observe the behavior of the solutions both analytically and numerically with requisite graphs. The solutions of mentioned equation admits the shock like dynamical structures. |
| first_indexed | 2024-12-20T09:17:46Z |
| format | Article |
| id | doaj.art-5eed2c3a9f1547389c452984af649f7e |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-20T09:17:46Z |
| publishDate | 2022-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-5eed2c3a9f1547389c452984af649f7e2022-12-21T19:45:22ZengElsevierResults in Physics2211-37972022-02-0133105124Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methodsSanjaya Kr. Mohanty0Oleg V. Kravchenko1Apul N. Dev2Department of Mathematics, Centre for Data Science, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar 751030, Odisha, IndiaDepartment of Higher Mathematics, Bauman Moscow State Technical University, Moscow, Russian Federation; FRC CSC RAS, Moscow, Russian FederationDepartment of Mathematics, Centre for Data Science, Siksha ‘O’ Anusandhan Deemed to be University, Bhubaneswar 751030, Odisha, India; Corresponding author.The Schamel Burgers’ equation is a nonlinear partial differential equation which produces the shock type traveling waves in extraordinary physical situations. Previously, this sort of equation is solved with well known tan−hyperbolicmethod. In this paper, we present the exact solutions of the Schamel Burgers’ equation using generalized-improved G′Gand generalized G′Gexpansion methods with the assistance of Mathematica-12 and observe the behavior of the solutions both analytically and numerically with requisite graphs. The solutions of mentioned equation admits the shock like dynamical structures.http://www.sciencedirect.com/science/article/pii/S2211379721010937Schamel Burgers’ equationShock waves |
| spellingShingle | Sanjaya Kr. Mohanty Oleg V. Kravchenko Apul N. Dev Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methods Results in Physics Schamel Burgers’ equation Shock waves |
| title | Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methods |
| title_full | Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methods |
| title_fullStr | Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methods |
| title_full_unstemmed | Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methods |
| title_short | Exact traveling wave solutions of the Schamel Burgers’ equation by using generalized-improved and generalized G′G expansion methods |
| title_sort | exact traveling wave solutions of the schamel burgers equation by using generalized improved and generalized g g expansion methods |
| topic | Schamel Burgers’ equation Shock waves |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721010937 |
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