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

Table 1

Absolute errors for $u(x,t)$ and $v(x,t)$ given by the HAM for $h=-0.8,$ when $k=0.2,\lambda =0.005,x_0=10,\alpha =0.5,$ and $\beta =1.$

$x$	$t=1$		$t=2$		$t=3$
	$u$	$v$	$u$	$v$	$u$	$v$
1	9.9250E-05	9.0532E-05	1.9973E-05	1.8221E-04	3.0144E-04	2.7505E-04
3	4.3988E-05	3.9582E-05	8.8512E-05	7.9651E-05	1.3358E-04	1.2021E-04
5	1.9644E-05	1.7569E-05	3.9526E-05	3.5351E-05	5.9649E-05	5.3350E-05
7	8.8025E-06	7.8509E-06	1.7711E-05	1.5797E-05	2.6727E-05	2.3839E-05