Nonautonomous optical bright soliton under generalized Hirota equation frame

The generalized Hirota equation is solved analytically through Daubox transformation method. The properties of solitons are investigated analytically based on related expressions. We present the precise balance condition between dispersion, nonlinear parameters, third-order dispersion and time-delay effects, to get stable propagating soliton. We find a condition under which effects of the third-order dispersion and time-delaying term could be eliminated.

► The generalized Hirota equation is solved analytically.
► The properties of solitons are investigated analytically.
► We present the precise balance condition to get stable propagating soliton.
► The effects of the higher-order term could be eliminated with a certain condition.