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http://elar.urfu.ru/handle/10995/130876
Название: | Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques |
Авторы: | Zafar, A. Raheel, M. Mahnashi, A. M. Bekir, A. Ali, M. R. Hendy, A. S. |
Дата публикации: | 2023 |
Издатель: | Elsevier B.V. |
Библиографическое описание: | Zafar, A, Raheel, M, Mahnashi, AM, Bekir, A, Ali, MR & Hendy, AS 2023, 'Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques', Results in Physics, Том. 54, 107092. https://doi.org/10.1016/j.rinp.2023.107092 Zafar, A., Raheel, M., Mahnashi, A. M., Bekir, A., Ali, M. R., & Hendy, A. S. (2023). Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques. Results in Physics, 54, [107092]. https://doi.org/10.1016/j.rinp.2023.107092 |
Аннотация: | This paper explores the new soliton solutions of the evolution equations named as truncated M-fractional (1+1)-dimensional non-linear Kaup-Boussinesq system by utilizing the expa function, modified simplest equation and Sardar sub-equation techniques. This system is used in the analysis of long waves in shallow water. The attained results involving trigonometric, hyperbolic and exponential functions. The effect of fractional order derivative is also discussed. Obtained results are very close to the approximate results due to the use of M-fractional derivative. Achieved results are verified by Mathematica tool. Few of the gained results are also explained through 2-D, 3-D and contour graphs. At the end, these techniques are straight forward, useful and effective to deal with non-linear FPDEs. © 2023 The Author(s) |
Ключевые слова: | MODIFIED SIMPLEST EQUATION TECHNIQUE NEW SOLITON SOLUTIONS SARDAR SUB-EQUATION TECHNIQUE SPACE–TIME FRACTIONAL KAUP–BOUSSINESQ SYSTEM THE EXPA FUNCTION TECHNIQUE |
URI: | http://elar.urfu.ru/handle/10995/130876 |
Условия доступа: | info:eu-repo/semantics/openAccess cc-by-nc-nd |
Текст лицензии: | https://creativecommons.org/licenses/by-nc-nd/4.0/ |
Идентификатор SCOPUS: | 85174809475 |
Идентификатор WOS: | 001102654800001 |
Идентификатор PURE: | 47720308 |
ISSN: | 2211-3797 |
DOI: | 10.1016/j.rinp.2023.107092 |
Располагается в коллекциях: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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Файл | Описание | Размер | Формат | |
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2-s2.0-85174809475.pdf | 2,78 MB | Adobe PDF | Просмотреть/Открыть |
Лицензия на ресурс: Лицензия Creative Commons