Variety of optical soliton solutions via sub-ODE approach to embedded soliton generating model in quadratic nonlinear media

Abstract

This paper studies the soliton solutions for Embedded soliton (ES) generating model with [Formula: see text] nonlinear susceptibility. The bright, rational, Jacobi elliptic, periodic, dark, Weierstrass, hyperbolic solitary wave solutions will be found with the aid of sub-ODE technique under certain conditions. The main objective behind the sub-ODE method is to find the wave solutions of a complex model with the help of simple and solvable ODEs called sub-ODEs. The resulting wave solutions are presented graphically for suitable values of different parameters.