Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity
In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method. The KS equation describe the phenomena of pressure waves in mixtures liquid-gas bubbles under the consideration of heat tr...
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2019-12-01
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| Series: | Journal of Taibah University for Science |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1080/16583655.2019.1680170 |
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| author | Aly R. Seadawy Mujahid Iqbal Dianchen Lu |
| author_facet | Aly R. Seadawy Mujahid Iqbal Dianchen Lu |
| author_sort | Aly R. Seadawy |
| collection | DOAJ |
| description | In this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method. The KS equation describe the phenomena of pressure waves in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity. Our new obtained solutions in the shape of hyperbolic, trigonometric, elliptic functions including dark, bright, singular, combined, kink wave solitons, travelling wave, solitary wave and periodic wave. We showed the physical interpretation of obtained solutions by three-dimensional graphically. These new constructed solutions play vital role in mathematical physics, optical fiber, plasma physics and other various branches of applied sciences. |
| first_indexed | 2024-12-19T21:25:39Z |
| format | Article |
| id | doaj.art-7110abf2ab2d4cc2a71c5f01e0e9d497 |
| institution | Directory Open Access Journal |
| issn | 1658-3655 |
| language | English |
| last_indexed | 2024-12-19T21:25:39Z |
| publishDate | 2019-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Taibah University for Science |
| spelling | doaj.art-7110abf2ab2d4cc2a71c5f01e0e9d4972022-12-21T20:05:09ZengTaylor & Francis GroupJournal of Taibah University for Science1658-36552019-12-011311060107210.1080/16583655.2019.16801701680170Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosityAly R. Seadawy0Mujahid Iqbal1Dianchen Lu2Taibah UniversityJiangsu UniversityJiangsu UniversityIn this research, we constructed the exact travelling and solitary wave solutions of the Kudryashov–Sinelshchikov (KS) equation by implementing the modified mathematical method. The KS equation describe the phenomena of pressure waves in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity. Our new obtained solutions in the shape of hyperbolic, trigonometric, elliptic functions including dark, bright, singular, combined, kink wave solitons, travelling wave, solitary wave and periodic wave. We showed the physical interpretation of obtained solutions by three-dimensional graphically. These new constructed solutions play vital role in mathematical physics, optical fiber, plasma physics and other various branches of applied sciences.http://dx.doi.org/10.1080/16583655.2019.1680170modified mathematical techniquekudryashov–sinelshchikov equationexact solutionstravelling wave solutionssolitary wave solutions |
| spellingShingle | Aly R. Seadawy Mujahid Iqbal Dianchen Lu Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity Journal of Taibah University for Science modified mathematical technique kudryashov–sinelshchikov equation exact solutions travelling wave solutions solitary wave solutions |
| title | Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity |
| title_full | Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity |
| title_fullStr | Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity |
| title_full_unstemmed | Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity |
| title_short | Nonlinear wave solutions of the Kudryashov–Sinelshchikov dynamical equation in mixtures liquid-gas bubbles under the consideration of heat transfer and viscosity |
| title_sort | nonlinear wave solutions of the kudryashov sinelshchikov dynamical equation in mixtures liquid gas bubbles under the consideration of heat transfer and viscosity |
| topic | modified mathematical technique kudryashov–sinelshchikov equation exact solutions travelling wave solutions solitary wave solutions |
| url | http://dx.doi.org/10.1080/16583655.2019.1680170 |
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