Bistability in the complex Ginzburg–Landau equation with drift

Properties of the complex Ginzburg–Landau equation with drift are studied focusing on the Benjamin–Feir stable regime. On a finite interval with Neumann boundary conditions the equation exhibits bistability between a spatially uniform time-periodic state and a variety of nonuniform states with complex time dependence. The origin of this behavior is identified and contrasted with the bistable behavior present with periodic boundary conditions and no drift.