= Directly forced cubic amplitude equation
{title2=$A_T=(\mu+i\Lambda)A-|A|^2A+1$}
A forcing at the carrier <wavenumber> breaks continuous spatial <translation symmetry> and adds a constant to its complex <amplitude equation>. In a frame following a moving forcing pattern, its phase drift gives $i\Lambda A$. A nonzero forcing coefficient is normalized to one by scaling amplitude by its cube root and time by its two-thirds power. A steady intensity $s=|A|^2$ satisfies $s[(\mu-s)^2+\Lambda^2]=1$, and its phase is uniquely determined by the steady complex equation.
Back to article page
