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

Abstract In this paper, the existence of a response solution with the Liouvillean frequency vector to the quasi-periodically forced complex Ginzburg–Landau equation, whose linearized system is elliptic–hyperbolic, is obtained. The proof is based on constructing a modified KAM theorem for an infinite...

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Bibliographic Details
Main Authors: Shimin Wang, Jie Liu
Format: Article
Language:English
Published: SpringerOpen 2020-04-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-020-01367-8