Optical solitons and other solutions for coupled system of nonlinear Biswas–Milovic equation with Kudryashov's law of refractive index by Jacobi elliptic function expansion method

Abstract

In this article, Jacobi elliptic function expansion method is applied to secure optical soliton solutions in magneto-optic waveguides for coupled system of nonlinear Biswas–Milovic equation with Kudryashov's law of refractive index. Bright soliton solutions, dark soliton solutions and singular-bright combo soliton solutions are obtained. Also, periodic solutions and Jacobi elliptic solutions are reported. The most significant achievement of this approach is that it offers all the solutions that can be found by the use of other techniques. Moreover, for the physical illustration, some of the obtained solutions are represented graphically.