Pseudospectral Renormalization Method for Solitons in Quasicrystal Lattice with the Cubic-Quintic Nonlinearity
Figure 17
Nonlinear evolution of the lattice soliton corresponding to the first renormalization factor situated at the Penrose potential with for the self-focusing cubic and the self-defocusing quintic model. (a) Peak amplitude of the lattice soliton as a function of the propagation distance. The initial condition is taken as the lattice soliton corresponding to the first renormalization factor with a 0.01 noise in the amplitude and phase. (b) Center of mass evolution in and coordinates. (c) Cross section along the diagonal axis of the fundamental soliton superimposed on the Penrose potential after the propagation ().
