Abstract
The Hirota dynamical system is a modified nonlinear Schrodinger equation (NLSE). It has time-delay corrections and higher-order dispersion to the cubic nonlinearity. It describe the propagation of wave in the optical fibers and ocean; it can be viewed as an approximation which is more accurate than the NLSE. We investigate the nonlinear generalized higher-order Hirota equation, for certain ultrashort optical pulses propagating in a nonlinear inhomogeneous fiber. By implementing variational principle and computational techniques, we obtained chirp optical and numerical wave solutions. Furthermore, the existence, uniqueness and stability are studied for this model.(c) 2022 Elsevier Ltd. All rights reserved.