An attractive analytical technique for coupled system of fractional partial differential equations in shallow water waves with conformable derivative

Mohammed Al-Smadi,Omar Abu Arqub,Samir Hadid

Figure 1. Comparison of exact and 6th-CRPS approximate graphs of the coupled WBK system (23) and (24) for $-1\leqslant t\leqslant 1$ and $-\pi \leqslant x\leqslant \pi :$ (a) exact solution $v\left(x,t\right);$ (b) CRPS solution ${v}_{6}\left(x,t\right)$ at $\alpha =1;$ (c) exact solution $w\left(x,t\right);$ and (d) CRPS solution ${w}_{6}\left(x,t\right)$ at $\alpha =1.$