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Aspects of non-linear Schr\"{o}dinger-type (NLS) formulation of scalar(phantom) field cosmology on slow-roll, acceleration, WKB approximation and BigRip singularity are presented. Slow-roll parameters for the curvature andbarotropic density terms are introduced. We reexpress all slow-roll parameters,slow-roll conditions and acceleration condition in NLS form. WKB approximationin the NLS formulation is also discussed when simplifying to linear case. Mostof the Schr\"{o}dinger potentials in NLS formulation are very slowly-varying,hence WKB approximation is valid in the ranges. In the NLS form of Big Ripsingularity, two quantities are infinity in stead of three. We also found thatapproaching the Big Rip, $w_{\rm eff}\to -1 + {2}/{3q}$, $(q<0)$ which is thesame as effective phantom equation of state in the flat case.

Slow-roll, acceleration, the Big Rip and WKB approximation in NLS-type formulation of scalar field cosmology