Phase dynamics in the complex Ginzburg-Landau equation
For suitable parameter values, stable time periodic solutions of a special type form the locally preferred platform for the complex Ginzburg-Landau equation. An evolution equation is derived in a formal manner that describes the spatial global behavior for a local wave number. This local wave number is an approximate solution of a conservation law, and the purpose of this paper is to understand and explain the extent to which the conservation law is valid, by proving estimates for this formal approximation.
scientific article; zbMATH DE number 2105459