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

Figure 4

The results obtained by HAM for various ℏ by 8th-order approximate solutions for 𝑛(𝑥,𝑡), in comparison with ADM solutions and the exact solutions with initial conditions (3.11) when 𝑘=0.05, 𝑘₁=1, 𝑠=0.33, 𝛽=1, (a)𝑥=0.25, (b)=0.5, (c)=0.75, (d)=1.

(a)

(b)

(c)

(d)