Abstract
In this article, the Resonant nonlinear Schrödinger equation (RNLSE) having anti-cubic nonlinearity is solved, using the generalized Kudryashov method. Nonlinear Schrödinger equation is a comprehensive model that governs wave behavior in optical fiber. We have investigated cubic-quintic RNLSE with the anti-cubic nonlinear terms. Bright, dark, kink, and singular soliton solutions of this equation are successfully achieved. The solutions obtained through the generalized Kudryashov method are in exponential functions form and which are reduced to hyperbolic functions form. The two and three-dimensional graphs of acquired solutions are plotted in order to present the dynamics of these solutions.
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