BIFURCATION TO MULTISOLITON COMPLEXES IN THE AC-DRIVEN, DAMPED NONLINEAR SCHRODINGER-EQUATION

We study bifurcations of localized stationary solutions of the externa lly driven, damped nonlinear Schrodinger equation i Psi(t) + Psi(xx) 2\Psi\(2) Psi = -i gamma Psi - he(i Omega t) in the region of large ga mma (gamma>1/2). For each pair of h and gamma, there are two coexistin g solitons Psi(+) and Psi(-). As the driver's strength h increases for the fixed gamma, the Psi(+) soliton merges with the flat background w hile the Psi(-) forms a stationary collective state with two ''Psi plu ses'': Psi(-) --> Psi((+-+)). We obtain other stationary solutions and identify them as multisoliton complexes Psi((++)), Psi((--)), Psi((-)), Psi((---)), Psi((-+-)), etc.