Approximate Traveling Wave Solutions of Coupled Whitham-Broer-Kaup Shallow Water Equations by Homotopy Analysis Method

Table 3

Absolute errors for $u(x,t)$ and $v(x,t)$ given by the HAM for $h=-0.8,$ when $k=0.2,\lambda =0.005,x_0=10,\alpha =0,$ and $\beta =\mathrm{0.5.}$

$x$	$t=1$		$t=2$		$t=3$
	$u$	$v$	$u$	$v$	$u$	$v$
1	4.0519E-05	1.6613E-05	8.1538E-05	3.3436E-05	1.2306E-04	5.0472E-05
3	1.7958E-05	7.2634E-06	3.6135E-05	1.4616E-05	5.4533E-05	2.2059E-05
5	8.0197E-06	3.2239E-06	1.6137E-05	6.4871E-06	2.4352E-05	9.7899E-06
7	3.5936E-06	1.4407E-06	7.2306E-06	2.8988E-06	1.0911E-05	4.3745E-06