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 4. Comparison of exact solutions with CRPS method and LADM [48] in 2D for system (23) and (24) for

$t=1$

and

$-6\leqslant x\leqslant 6,$

in which exact (red); CRPS (blue); LADM (green): (a)

$v\left(x,t\right)$

solutions at

$\alpha =1;$

(b)

$w\left(x,t\right)$

solutions at

$\alpha =1;$

(c)

$v\left(x,t\right)$

solutions at

$\alpha =0.25;$

and (d)

$w\left(x,t\right)$

solutions at

$\alpha =0.25.$