  For the time-dependent Ginzburg-Landau equation on the real line, we
construct solutions which converge, as $x \to \pm\infty$, to periodic
stationary states with different wave-numbers $\eta_\pm$. These solutions are
stable with respect to small perturbations, and approach as $t \to +\infty$ a
universal diffusive profile depending only on the values of $\eta_\pm$. This
extends a previous result of Bricmont and Kupiainen by removing the assumption
that $\eta_\pm$ should be close to zero. The existence of the diffusive profile
is obtained as an application of the theory of monotone operators, and the
long-time behavior of our solutions is controlled by rewriting the system in
scaling variables and using energy estimates involving an exponentially growing
damping term.
