Open AccessON OBLIQUE WAVE SOLUTIONS OF SOME SPACE-TIME FRACTIONAL MODIFIED KDV EQUATIONS
Author(s) -
Asim Zafar,
Ahmet Bekir,
Bushra Khalid,
Muhammad Amjad
Publication year - 2021
Publication title -
journal of science and arts
Language(s) - English
Resource type - Journals
eISSN - 2068-3049
pISSN - 1844-9581
DOI - 10.46939/j.sci.arts-21.4-a03
Subject(s) - conformable matrix , korteweg–de vries equation , oblique case , variety (cybernetics) , space (punctuation) , representation (politics) , mathematics , computer science , mathematical analysis , physics , nonlinear system , linguistics , philosophy , quantum mechanics , artificial intelligence , politics , political science , law , operating system
The modified Kudryashov approach along with the conformable derivative is used to find a variety of askew wave solutions, with some free parameters, of the space-time fractional modified KdV equations. We study the wave solutions of the aforesaid mKdV equations that are obliquely propagated to consider the behaviour of physical issues in water waves and other fluids. The graphical depiction of these solutions is given via Mathematica for better understanding. Moreover, apart from the physical implication, these solutions may be helpful for an upgraded understanding of numerical solvers to compare the accuracy of their results and performances of wave dynamics as observed in science and engineering.