Complex Ginzburg Landau Equation

We solve a special form of the Complex Ginzburg Landua equation for the complex field A(x,y,t):

The most general form has a complex coefficient multiplying the derivative terms, but for ease of the numerics this has been chosen as unity. The coefficient (1-ic3) of the first term on the right hand side is chosen to make the appearance of the dynamics more consistent with our intuition on wave propagation - this coefficient can be changed arbitrarily by multiplying A by exp(ift) for some f.
Last modified Friday, May 7, 1999
Michael Cross