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

Figure 2

Comparison between the exact solution, the HPM solution, the ADM solution, and the HAM solution for 𝑛(𝑥,𝑡) with initial conditions (3.11) when 𝑘=0.05, 𝑘₁=1, 𝑠=0.33, 𝛽=1, ℏ=−1.

(a) The exact solution for 𝑛(𝑥,𝑡)

(b) The HPM solution for 𝑛(𝑥,𝑡)

(c) The ADM solution for 𝑛(𝑥,𝑡)

(d) The HAM solution for 𝑛(𝑥,𝑡) for the 8th order