Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics
A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied can be used in further works to obtain entire...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/7452786 |
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| author | Y. B. Chukkol M. N. B. Mohamad Mukhiddin Muminov |
| author_facet | Y. B. Chukkol M. N. B. Mohamad Mukhiddin Muminov |
| author_sort | Y. B. Chukkol |
| collection | DOAJ |
| description | A modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied can be used in further works to obtain entirely new solutions to many other nonlinear evolution equations. |
| format | Article |
| id | doaj-art-90783371e01c421c989b91303c8fab71 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-90783371e01c421c989b91303c8fab712025-02-03T01:08:48ZengWileyJournal of Applied Mathematics1110-757X1687-00422018-01-01201810.1155/2018/74527867452786Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow DynamicsY. B. Chukkol0M. N. B. Mohamad1Mukhiddin Muminov2Department of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, MalaysiaDepartment of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, MalaysiaDepartment of Mathematical Sciences, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, MalaysiaA modified tanh-coth method with Riccati equation is used to construct several explicit solutions of (3+1)-dimensional Kudryashov-Sinelshchikov equations in bubble gas liquid flow. The solutions include solitons and periodic solutions. The method applied can be used in further works to obtain entirely new solutions to many other nonlinear evolution equations.http://dx.doi.org/10.1155/2018/7452786 |
| spellingShingle | Y. B. Chukkol M. N. B. Mohamad Mukhiddin Muminov Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics Journal of Applied Mathematics |
| title | Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics |
| title_full | Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics |
| title_fullStr | Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics |
| title_full_unstemmed | Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics |
| title_short | Explicit Solutions to the (3+1)-Dimensional Kudryashov-Sinelshchikov Equations in Bubbly Flow Dynamics |
| title_sort | explicit solutions to the 3 1 dimensional kudryashov sinelshchikov equations in bubbly flow dynamics |
| url | http://dx.doi.org/10.1155/2018/7452786 |
| work_keys_str_mv | AT ybchukkol explicitsolutionstothe31dimensionalkudryashovsinelshchikovequationsinbubblyflowdynamics AT mnbmohamad explicitsolutionstothe31dimensionalkudryashovsinelshchikovequationsinbubblyflowdynamics AT mukhiddinmuminov explicitsolutionstothe31dimensionalkudryashovsinelshchikovequationsinbubblyflowdynamics |