Quasi-Periodic Solutions for the Generalized Ginzburg-Landau Equation with Derivatives in the Nonlinearity

Response solution to complex Ginzburg–Landau equation with quasi-periodic forcing of Liouvillean frequency

“…More concretely, Chung and Yuan [9] and Cong, Liu and Yuan [10] proved the existence of quasiperiodic solutions which are not traveling waves for d = 1 and d ≥ 2 respectively in the case of the group velocity m = 0 by KAM-type theorems. See also [11][12][13].…”