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Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques

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Заглавие Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques
 
Автор Zafar, A.
Raheel, M.
Mahnashi, A. M.
Bekir, A.
Ali, M. R.
Hendy, A. S.
 
Тематика MODIFIED SIMPLEST EQUATION TECHNIQUE
NEW SOLITON SOLUTIONS
SARDAR SUB-EQUATION TECHNIQUE
SPACE–TIME FRACTIONAL KAUP–BOUSSINESQ SYSTEM
THE EXPA FUNCTION TECHNIQUE
 
Описание 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)
 
Дата 2024-04-05T16:34:44Z
2024-04-05T16:34:44Z
2023
 
Тип Article
Journal article (info:eu-repo/semantics/article)
|info:eu-repo/semantics/publishedVersion
 
Идентификатор 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
2211-3797
Final
All Open Access, Gold
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85174809475&doi=10.1016%2fj.rinp.2023.107092&partnerID=40&md5=ccabe35fcbfdcc784c9044cf72c4cd00
https://doi.org/10.1016/j.rinp.2023.107092
http://elar.urfu.ru/handle/10995/130876
10.1016/j.rinp.2023.107092
85174809475
001102654800001
 
Язык en
 
Права Open access (info:eu-repo/semantics/openAccess)
cc-by-nc-nd
https://creativecommons.org/licenses/by-nc-nd/4.0/
 
Формат application/pdf
 
Издатель Elsevier B.V.
 
Источник Results in Physics
Results in Physics