Modulation instability analysis and optical solitons in birefringent fibers to RKL equation without four wave mixing

Abstract

In this present work, we retrieve the optical solitons in birefringent fibers modeled by Radhakrishnan-Kundu-Lakshmanan (RKL) equation in coupled vector form. The system is composed of self-phase, cross-phase modulation terms, self-steepening terms and the effect of four-wave mixing is discarded. In this article, by employing innovative integration norms known as the extended rational sine-cosine/sinh-cosh techniques different forms of optical solitons like dark, singular, combined and complex soliton solutions are recovered. Furthermore, singular periodic wave solutions are also observed. The constraint conditions which ensure the formation of soliton solutions are also specified. By using the suitable values of the parameters involved, the 2-, 3-dimensional and the contour graphs of some of the reported solutions are plotted. The stability of the given model is studied by exercising the modulation instability analysis which confirms that the model is stable and guarantees that all extracted solutions are stable and exact.