Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation
In this paper, we obtain meromorphic exact solutions of the KdV-Sawada-Kotera equation via two different systematic methods. Applying the exp(-<em>ψ</em>(<em>z</em>))-expansion method, we achieve the trigonometric, exponential, hyperbolic and rational function solutions for t...
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| Format: | Article |
| Language: | English |
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AIMS Press
2020-05-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/10.3934/math.2020257/fulltext.html |
| _version_ | 1819146937667944448 |
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| author | Yongyi Gu Najva Aminakbari |
| author_facet | Yongyi Gu Najva Aminakbari |
| author_sort | Yongyi Gu |
| collection | DOAJ |
| description | In this paper, we obtain meromorphic exact solutions of the KdV-Sawada-Kotera equation via two different systematic methods. Applying the exp(-<em>ψ</em>(<em>z</em>))-expansion method, we achieve the trigonometric, exponential, hyperbolic and rational function solutions for the mentioned equation. It is more interesting that we firstly proposed the extended complex method based on the previous work of Yuan <em>et al</em>., and as an example we use it to search exact solutions to the KdV-Sawada-Kotera equation. Dynamic behaviors of solutions obtained by these two different systematic techniques are also shown by some graphs. The results show that these two methods are direct and efficient methods to deal with various differential equations in the applied sciences. |
| first_indexed | 2024-12-22T13:21:52Z |
| format | Article |
| id | doaj.art-a8736484c598435889286aa38124aa1e |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-22T13:21:52Z |
| publishDate | 2020-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-a8736484c598435889286aa38124aa1e2022-12-21T18:24:27ZengAIMS PressAIMS Mathematics2473-69882020-05-01543990401010.3934/math.2020257Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equationYongyi Gu0Najva Aminakbari11 Big data and Educational Statistics Application Laboratory, Guangdong University of Finance and Economics, Guangzhou 510320, China 2 School of Statistics and Mathematics, Guangdong University of Finance and Economics, Guangzhou 510320, China3 School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaIn this paper, we obtain meromorphic exact solutions of the KdV-Sawada-Kotera equation via two different systematic methods. Applying the exp(-<em>ψ</em>(<em>z</em>))-expansion method, we achieve the trigonometric, exponential, hyperbolic and rational function solutions for the mentioned equation. It is more interesting that we firstly proposed the extended complex method based on the previous work of Yuan <em>et al</em>., and as an example we use it to search exact solutions to the KdV-Sawada-Kotera equation. Dynamic behaviors of solutions obtained by these two different systematic techniques are also shown by some graphs. The results show that these two methods are direct and efficient methods to deal with various differential equations in the applied sciences.https://www.aimspress.com/article/10.3934/math.2020257/fulltext.htmldifferential equationkdv-sawada-kotera equationsymbolic computationextended complex methodexp(-<i>ψ</i>(<i>z</i>))-expansion method |
| spellingShingle | Yongyi Gu Najva Aminakbari Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation AIMS Mathematics differential equation kdv-sawada-kotera equation symbolic computation extended complex method exp(-<i>ψ</i>(<i>z</i>))-expansion method |
| title | Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation |
| title_full | Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation |
| title_fullStr | Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation |
| title_full_unstemmed | Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation |
| title_short | Two different systematic methods for constructing meromorphic exact solutions to the KdV-Sawada-Kotera equation |
| title_sort | two different systematic methods for constructing meromorphic exact solutions to the kdv sawada kotera equation |
| topic | differential equation kdv-sawada-kotera equation symbolic computation extended complex method exp(-<i>ψ</i>(<i>z</i>))-expansion method |
| url | https://www.aimspress.com/article/10.3934/math.2020257/fulltext.html |
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