The Nonlinear Analysis of Perturbation Solution for a Parabolic Differential System

Figure 1

The dependencies of the amplitude level 𝐴_𝑚 on the mode order reflecting the influence of cubic nonlinearity on the self-organization process evolution, (a) corresponds to 𝑡=5, (b) is related to 𝑡=50, thus the obtained curves represent an asymptotic estimation of amplitude distribution.

(a)

(b)