Abstract
The solitary wave solutions of the quadratic-cubic law and Kerr-Law nonlinearity of the resonant nonlinear Schrödinger's Equation are investigated in this study. The solitary wave solutions of the resonant nonlinear Schrödinger's equations are investigated using the well-known extended simple equation method (ESEM). The field of Soliton in nonlinear fiber optics is where these equations are mainly investigated. We have obtained a new dark-bright, bell-shaped, periodic, unique, and periodic Soliton.
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