Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat Transfer and Viscosity
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Информация об архиве | Просмотр оригинала| Поле | Значение | |
| Заглавие |
Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat Transfer and Viscosity
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| Автор |
Ali, R.
Hendy, A. S. Ali, M. R. Hassan, A. M. Awwad, F. A. Ismail, E. A. A. |
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| Тематика |
CONFORMABLE FRACTIONAL DERIVATIVES
FRACTIONAL KUDRYASHOV–SINELSHCHIKOV EQUATION NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS SOLITONS VARIABLE TRANSFORMATION |
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| Описание |
In this research work, we investigate the complex structure of soliton in the Fractional Kudryashov–Sinelshchikov Equation (FKSE) using conformable fractional derivatives. Our study involves the development of soliton solutions using the modified Extended Direct Algebraic Method (mEDAM). This approach involves a key variable transformation, which successfully transforms the model into a Nonlinear Ordinary Differential Equation (NODE). Following that, by using a series form solution, the NODE is turned into a system of algebraic equations, allowing us to construct soliton solutions methodically. The FKSE is the governing equation, allowing for heat transmission and viscosity effects while capturing the behaviour of pressure waves in liquid–gas bubble mixtures. The solutions we discover include generalised trigonometric, hyperbolic, and rational functions with kinks, singular kinks, multi-kinks, lumps, shocks, and periodic waves. We depict two-dimensional, three-dimensional, and contour graphs to aid comprehension. These newly created soliton solutions have far-reaching ramifications not just in mathematical physics, but also in a wide range of subjects such as optical fibre research, plasma physics, and a variety of applied sciences. © 2023 by the authors.
King Saud University, KSU This project is funded by King Saud University, Riyadh, Saudi Arabia. |
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| Дата |
2024-04-05T16:37:06Z
2024-04-05T16:37:06Z 2023 |
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| Тип |
Article
Journal article (info:eu-repo/semantics/article) |info:eu-repo/semantics/publishedVersion |
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| Идентификатор |
Ali, R, Hendy, AS, Ali, MR, Hassan, AM, Awwad, FA & Ismail, EAA 2023, 'Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat Transfer and Viscosity', Fractal and Fractional, Том. 7, № 11, 773. https://doi.org/10.3390/fractalfract7110773
Ali, R., Hendy, A. S., Ali, M. R., Hassan, A. M., Awwad, F. A., & Ismail, E. A. A. (2023). Exploring Propagating Soliton Solutions for the Fractional Kudryashov–Sinelshchikov Equation in a Mixture of Liquid–Gas Bubbles under the Consideration of Heat Transfer and Viscosity. Fractal and Fractional, 7(11), [773]. https://doi.org/10.3390/fractalfract7110773 2504-3110 Final All Open Access, Gold https://www.scopus.com/inward/record.uri?eid=2-s2.0-85178255121&doi=10.3390%2ffractalfract7110773&partnerID=40&md5=293f41375571235aad58c8839c8564d0 https://www.mdpi.com/2504-3110/7/11/773/pdf?version=1698198424 http://elar.urfu.ru/handle/10995/131009 10.3390/fractalfract7110773 85178255121 001108166200001 |
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| Язык |
en
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| Права |
Open access (info:eu-repo/semantics/openAccess)
cc-by https://creativecommons.org/licenses/by/4.0/ |
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| Формат |
application/pdf
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| Издатель |
Multidisciplinary Digital Publishing Institute (MDPI)
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| Источник |
Fractal and Fractional
Fractal and Fractional |
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