The inviscid limit for the complex Ginzburg–Landau equation

We study the inviscid limit of the complex Ginzburg–Landau equation. We observe that the solutions for the complex Ginzburg–Landau equation converge to the corresponding solutions for the nonlinear Schrödinger equation. We give its convergence rate. We estimate the integral forms of solutions for two equations.  2003 Elsevier Science (USA). All rights reserved.