Standard

Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques. / Zafar, Asim; Raheel, M.; Mahnashi, Ali m. и др.
в: Results in Physics, Том 54, 107092, 01.11.2023.

Результаты исследований: Вклад в журнал › Статья › Рецензирование

Harvard

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

APA

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

Vancouver

Zafar A, Raheel M, Mahnashi AM, Bekir A, Ali MR, Hendy AS. Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques. Results in Physics. 2023 нояб. 1;54:107092. doi: 10.1016/j.rinp.2023.107092

Author

Zafar, Asim ; Raheel, M. ; Mahnashi, Ali m. и др. / Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques. в: Results in Physics. 2023 ; Том 54.

BibTeX

@article{f4ba022bcf3e4175b38e6e0ffb82e89c,
title = "Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques",
abstract = "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.",
author = "Asim Zafar and M. Raheel and Mahnashi, {Ali m.} and Ahmet Bekir and Ali, {Mohamed r.} and Hendy, {A. S.}",
year = "2023",
month = nov,
day = "1",
doi = "10.1016/j.rinp.2023.107092",
language = "English",
volume = "54",
journal = "Results in Physics",
issn = "2211-3797",
publisher = "Elsevier BV",

}

RIS

TY - JOUR

T1 - Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques

AU - Zafar, Asim

AU - Raheel, M.

AU - Mahnashi, Ali m.

AU - Bekir, Ahmet

AU - Ali, Mohamed r.

AU - Hendy, A. S.

PY - 2023/11/1

Y1 - 2023/11/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?partnerID=8YFLogxK&scp=85174809475

UR - https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=tsmetrics&SrcApp=tsm_test&DestApp=WOS_CPL&DestLinkType=FullRecord&KeyUT=001102654800001

U2 - 10.1016/j.rinp.2023.107092

DO - 10.1016/j.rinp.2023.107092

M3 - Article

VL - 54

JO - Results in Physics

JF - Results in Physics

SN - 2211-3797

M1 - 107092

ER -

ID: 47720308