We consider Complex Ginzburg-Landau equations with a polynomial nonlinearity
in the real line. We use splitting-methods to prove well-posedness for a subset
of almost periodic spaces. Specifically, we prove that if the initial condition
has multiples of an irrational phase, then the solution of the equation
maintains those same phases.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.