The applications of symbolic computation to exact wave solutions of two HSI-like equations in (2+1)-dimensional
It is renowned that Hirota–Satsuma–Ito (HSI) equation is widely used to study wave dynamics of shallow water. In this work, two new HSI-like equations are investigated which could be extended to diversify problems in natural phenomena and give admirable contributions by applying the generalized expo...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2023-01-01
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| Series: | Frontiers in Physics |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fphy.2023.1116993/full |
| _version_ | 1797942850614198272 |
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| author | Chun-Ku Kuo B. Gunay Chieh-Ju Juan |
| author_facet | Chun-Ku Kuo B. Gunay Chieh-Ju Juan |
| author_sort | Chun-Ku Kuo |
| collection | DOAJ |
| description | It is renowned that Hirota–Satsuma–Ito (HSI) equation is widely used to study wave dynamics of shallow water. In this work, two new HSI-like equations are investigated which could be extended to diversify problems in natural phenomena and give admirable contributions by applying the generalized exponential rational function method (GERFM). With the aid of symbolic calculations, various constraints on the free parameters are given, while classes of wave solutions are explicitly constructed from the coefficients of the combined non-linear and dissipative terms. After specifying values for free parameters, singular, periodic singular and anti-kink waves are demonstrated in 3D figures to exhibit different kinds of wave propagations. The fact that parameters directly influence the wave amplitude and speed of traveling waves is illustrated. The derived results are innovative and have important applications in the current field of mathematical physics research. Eventually, we show that generalized exponential rational function method is effective and straightforward to solve higher-order and high-dimensional non-linear evolution equations. |
| first_indexed | 2024-04-10T20:14:05Z |
| format | Article |
| id | doaj.art-026861681e6048a189b83736768fa33f |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-10T20:14:05Z |
| publishDate | 2023-01-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-026861681e6048a189b83736768fa33f2023-01-26T06:45:34ZengFrontiers Media S.A.Frontiers in Physics2296-424X2023-01-011110.3389/fphy.2023.11169931116993The applications of symbolic computation to exact wave solutions of two HSI-like equations in (2+1)-dimensionalChun-Ku Kuo0B. Gunay1Chieh-Ju Juan2Department of Aeronautics and Astronautics, Air Force Academy, Kaohsiung, TaiwanDepartment of Mathematics, Faculty of Engineering and Natural Sciences, Bahçeşehir University, Istanbul, TurkeyDepartment of Aviation Management, Air Force Academy, Kaohsiung, TaiwanIt is renowned that Hirota–Satsuma–Ito (HSI) equation is widely used to study wave dynamics of shallow water. In this work, two new HSI-like equations are investigated which could be extended to diversify problems in natural phenomena and give admirable contributions by applying the generalized exponential rational function method (GERFM). With the aid of symbolic calculations, various constraints on the free parameters are given, while classes of wave solutions are explicitly constructed from the coefficients of the combined non-linear and dissipative terms. After specifying values for free parameters, singular, periodic singular and anti-kink waves are demonstrated in 3D figures to exhibit different kinds of wave propagations. The fact that parameters directly influence the wave amplitude and speed of traveling waves is illustrated. The derived results are innovative and have important applications in the current field of mathematical physics research. Eventually, we show that generalized exponential rational function method is effective and straightforward to solve higher-order and high-dimensional non-linear evolution equations.https://www.frontiersin.org/articles/10.3389/fphy.2023.1116993/fullhirota-satsuma-ito equationshallow watergeneralized exponential rational function methodsymbolic computationsolitaryanti-kink |
| spellingShingle | Chun-Ku Kuo B. Gunay Chieh-Ju Juan The applications of symbolic computation to exact wave solutions of two HSI-like equations in (2+1)-dimensional Frontiers in Physics hirota-satsuma-ito equation shallow water generalized exponential rational function method symbolic computation solitary anti-kink |
| title | The applications of symbolic computation to exact wave solutions of two HSI-like equations in (2+1)-dimensional |
| title_full | The applications of symbolic computation to exact wave solutions of two HSI-like equations in (2+1)-dimensional |
| title_fullStr | The applications of symbolic computation to exact wave solutions of two HSI-like equations in (2+1)-dimensional |
| title_full_unstemmed | The applications of symbolic computation to exact wave solutions of two HSI-like equations in (2+1)-dimensional |
| title_short | The applications of symbolic computation to exact wave solutions of two HSI-like equations in (2+1)-dimensional |
| title_sort | applications of symbolic computation to exact wave solutions of two hsi like equations in 2 1 dimensional |
| topic | hirota-satsuma-ito equation shallow water generalized exponential rational function method symbolic computation solitary anti-kink |
| url | https://www.frontiersin.org/articles/10.3389/fphy.2023.1116993/full |
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