The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations

Table 5

The ADM results for 𝑛(𝑥,𝑡) for the first six approximations in comparison with the analytical solution with initial conditions (3.11) when 𝑘=0.05,𝑘₁=1,𝑠=0.33,𝛽=1.

𝑡𝑖
𝑥𝑖	0.1	0.2	0.3	0.4	0.5
0.1	7.8×10^−19	1.42×10^−17	1.216×10^−16	8.0762×10^−16	4.14247×10^−15
0.2	9.4×10^−19	1.639×10^−17	1.3206×10^−16	8.4007×10^−16	4.22213×10^−15
0.3	1.16×10^−18	1.94×10^−17	1.466×10^−16	8.8452×10^−16	4.32766×10^−15
0.4	1.45×10^−18	2.322×10^−17	1.6455×10^−16	9.3918×10^−16	4.45507×10^−15
0.5	1.74×10^−18	2.758×10^−17	1.8546×10^−16	1.0022×10^−15	4.5994×10^−15