| You are in:Home/Publications/Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques | |
Dr. Mohamed Reda Ali Mohamed :: Publications: |
|
| Title: | Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques
|
| Authors: | Asim Zafar a, M. Raheel a, Ali M. Mahnashi b, Ahmet Bekir c, Mohamed R. Ali d e, A.S. Hendy f |
| Year: | 2024 |
| Keywords: | Space–time fractional Kaup–Boussinesq systemThe expa function techniqueModified simplest equation techniqueSardar sub-equation techniqueNew soliton solutions |
| Journal: | Results in Physics |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Mohamed Reda Ali Mohamed _1-s2.0-S2211379723008859-main.pdf |
| Supplementary materials | Mohamed Reda Ali Mohamed _1-s2.0-S2211379723008859-main.pdf |
| 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 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. |
