## Complex Ginzburg Landau Equation

The applet evolves a special form of the Complex Ginzburg Landau 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-ic*_{3}) 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*.