Propagation of solitons in optical fibers with generalized Kudryashov’s refractive index

Abstract

The propagation of optical solitons in optical fibers with the generalized Kudryashov’s refractive index is described by a high order nonlinear Schrödinger equation. The main feature is that the amplitude and width of the pulse can be changed with arbitrary power. By trial equation method, a series of propagation patterns of optical waves are obtained. In addition, the graphs of two-dimensional and three-dimensional solutions are illustrated, and then the existence of all those patterns of optical waves is proved.