Abstract
This paper is devoted in the study of the resonant nonlinear Schrodinger equation with competing weakly nonlocal nonlinearity and fractional temporal evolution which describes the dynamics of optical solitons through nonlinear optical fibers. The equation is studied with two forms of nonlinearity, namely Kerr law and parabolic law. The fractional complex transformation and F-expansion method is used to obtain exact optical soliton solutions of the equation. In addition, the constraint relations between the model coefficients and the traveling wave frequency coefficient for the existence of optical solitons are also derived.
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