محمد رضا على محمد
أستاذ مساعد
Exploring the new soliton solutions to the nonlinear M-fractional evolution equations in shallow water by three analytical techniques
Results in Physics • 2024
معلومات البحث
المؤلفون
Asim Zafar a, M. Raheel a, Ali M. Mahnashi b, Ahmet Bekir c, Mohamed R. Ali d e, A.S. Hendy f
الكلمات المفتاحية
Space–time fractional Kaup–Boussinesq systemThe expa function techniqueModified simplest equation techniqueSardar sub-equation techniqueNew soliton solutions
المجلة العلمية
Results in Physics
الناشر
Not Available
المجلد
Not Available
العدد
Not Available
الصفحات
Not Available
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Mohamed Reda Ali Mohamed _1-s2.0-S2211379723008859-main.pdf
الملخص
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.
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.