This paper investigates the nonautonomous Schrödinger-Hirota equation with power-law nonlinearity via the Unified Method. New nonautonomous optical wave solutions are obtained in polynomial function solutions type. Among these solutions: the optical solitary, optical soliton and optical elliptic wave solutions. The physical explanations and the dynamical behavior of the solutions describing the wave propagation in optical fibers are discussed and analyzed for different choices of the arbitrary functions in the solutions.
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Osman et al. (2019) studied this question.