The bipolar(defocusing nonlinear)Schrodinger-Poisson system and quasi-linear Schr(o)dingerPoisson equations are studied. The wellposedness, large time behavior and modified scattering theory is established for the Cauchy problem to the bipolar(defocusing nonlinear)Schr(o)dinger-Poisson systems. The initial-(Dirichlet) boundary problem for a high field version of the Schr(o)dinger-Poisson equations, quasilinear Schr(o)dinger-Poisson equations, which include a nonlinear term in the Poisson equation corresponding to a field-dependent dielectric constant and an effective potential in the Schr(o)dinger equations on the unit cube are also discussed.
; Hsiao Ling
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