Research output: Contribution to journal › Article › peer-review
Research output: Contribution to journal › Article › peer-review
}
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