Nonlinear physical complex hirota dynamical system: Construction of chirp free optical dromions and numerical wave solutions

The Hirota dynamical system is a modified nonlinear Schrödinger 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.