Bright and dark solitons for the fifth-order nonlinear Schr?dinger equation with variable coefficients

In this work, a fifth-order nonlinear Schrodinger equation with variable coefficients is in-vestigated, which represents the diffusion of ultrashort pulses in incompatible optical fibers. With the aid of two direct functions, some non-traveling wave bright and dark soliton solutions are obtained. Via the G '/G-expansion method, the non-traveling wave hyperbolic -type and trigonometric-type solutions are studied. Finally, we show the dynamic properties and characteristics of these derived results by using some three-dimensional figures and contour figures.

Automated summary

In this study, a fifth-order nonlinear Schrodinger equation with variable coefficients is investigated to understand the diffusion of ultrashort pulses in incompatible optical fibers. Non-traveling wave bright and dark soliton solutions are obtained using two direct functions. Additionally, non-traveling wave hyperbolic-type and trigonometric-type solutions are studied using the G'/G-expansion method. Dynamic properties and characteristics of these derived results are demonstrated using three-dimensional figures and contour figures.