Optical solitons for fourth order nonlinear Schrödinger's equation with cubic–quintic–septic–nonic nonlinearity using improved modified extended tanh-function scheme

Abstract

In this work, we investigate the fourth order nonlinear Schrödinger's equation with cubic–quintic–septic–nonic nonlinearity that is frequently encountered in modern physics study. Additionally, it is an important equation for researching problems with light pulse transmission in nonlinear dispersive optical medium. Studying is conducted by applying the improved modified extended tanh-function scheme. Various types of solutions, such as bright solitons, hyperbolic solutions, singular solitons and dark solitons solutions are extracted for the investigated model. The extracted solutions confirmed the efficacy and strength of the current technique. To illustrate the physical characteristics of the established solutions, many selected solutions are visually depicted.

Keywords

• Exact solutions
• NLSE
• Improved modified extended tanh-function scheme
• NLPDEs