The time-independent NLS formulation of two-fluid scalar-field cosmology yields exact solutions, but most are unphysical or duplicate known results, motivating a time-dependent extension.
Padmanabhan, Curr
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Non-linear Schr\"{o}dinger-type formulation of scalar field cosmology: two barotropic fluids and exact solutions
The time-independent NLS formulation of two-fluid scalar-field cosmology yields exact solutions, but most are unphysical or duplicate known results, motivating a time-dependent extension.