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Description:
We use a method developed by Strauss to obtain global well-posedness results in the mild sense and existence of asymptotic states for the small data Cauchy problem in modulation spaces Ms¦(p,q) (R$^{d}$), where q=1 and s ≥0 or q ∈ (1, ∞] and s> d¦q' for a nonlinear Schr¨odinger equation with higher order anisotropic dispersion and algebraic nonlinearities.