Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics
The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation. The KS equation depicts the occurrence of pressure waves in mixtures of liquid-gas bubbles while accounting for thermal expansion and visc...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Journal of Ocean Engineering and Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2468013321001212 |
| _version_ | 1811180303440412672 |
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| author | Sachin Kumar Monika Niwas Shubham Kumar Dhiman |
| author_facet | Sachin Kumar Monika Niwas Shubham Kumar Dhiman |
| author_sort | Sachin Kumar |
| collection | DOAJ |
| description | The generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation. The KS equation depicts the occurrence of pressure waves in mixtures of liquid-gas bubbles while accounting for thermal expansion and viscosity. By applying the GERF method to the KS equation, we obtain analytic solutions in terms of trigonometric, hyperbolic, and exponential functions, among others. These solutions include solitary wave solutions, dark-bright soliton solutions, singular soliton solutions, singular bell-shaped solutions, traveling wave solutions, rational form solutions, and periodic wave solutions. We discuss the two-dimensional and three-dimensional graphics of some obtained solutions under the accurate range space by selecting appropriate values for the involved arbitrary parameters to make this research more praiseworthy. The obtained analytic wave solutions specify the GERF method’s dependability, capability, trustworthiness, and efficiency. |
| first_indexed | 2024-04-11T06:48:02Z |
| format | Article |
| id | doaj.art-85270b83c9b04d658588fdb08a616a67 |
| institution | Directory Open Access Journal |
| issn | 2468-0133 |
| language | English |
| last_indexed | 2024-04-11T06:48:02Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of Ocean Engineering and Science |
| spelling | doaj.art-85270b83c9b04d658588fdb08a616a672022-12-22T04:39:17ZengElsevierJournal of Ocean Engineering and Science2468-01332022-12-0176565577Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physicsSachin Kumar0Monika Niwas1Shubham Kumar Dhiman2Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, IndiaCorresponding author.; Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, IndiaDepartment of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, IndiaThe generalized exponential rational function (GERF) method is used in this work to obtain analytic wave solutions to the Kudryashov-Sinelshchikov (KS) equation. The KS equation depicts the occurrence of pressure waves in mixtures of liquid-gas bubbles while accounting for thermal expansion and viscosity. By applying the GERF method to the KS equation, we obtain analytic solutions in terms of trigonometric, hyperbolic, and exponential functions, among others. These solutions include solitary wave solutions, dark-bright soliton solutions, singular soliton solutions, singular bell-shaped solutions, traveling wave solutions, rational form solutions, and periodic wave solutions. We discuss the two-dimensional and three-dimensional graphics of some obtained solutions under the accurate range space by selecting appropriate values for the involved arbitrary parameters to make this research more praiseworthy. The obtained analytic wave solutions specify the GERF method’s dependability, capability, trustworthiness, and efficiency.http://www.sciencedirect.com/science/article/pii/S246801332100121233F1035C0535C0735C0939A14 |
| spellingShingle | Sachin Kumar Monika Niwas Shubham Kumar Dhiman Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics Journal of Ocean Engineering and Science 33F10 35C05 35C07 35C09 39A14 |
| title | Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics |
| title_full | Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics |
| title_fullStr | Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics |
| title_full_unstemmed | Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics |
| title_short | Abundant analytical soliton solutions and different wave profiles to the Kudryashov-Sinelshchikov equation in mathematical physics |
| title_sort | abundant analytical soliton solutions and different wave profiles to the kudryashov sinelshchikov equation in mathematical physics |
| topic | 33F10 35C05 35C07 35C09 39A14 |
| url | http://www.sciencedirect.com/science/article/pii/S2468013321001212 |
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