Ginzburg-Landau plane wave
= Ginzburg-Landau plane wave
{c}
{title2=$\psi=\sqrt{\mu-k^2}\,e^{ik(x-Ut)}$}
With real $k,U$ and $\mu>k^2$, substitution into the <nonlinear Ginzburg-Landau equation> cancels the <material derivative> and gives $Q^2=\mu-k^2$. A complex $k$ makes the modulus spatially varying, so it generally does not admit this constant-amplitude <nonlinear Ginzburg-Landau equation> ansatz.