Optical solitons of a time-fractional higher-order nonlinear Schrödinger equation

Abstract

A time-fractional higher-order nonlinear Schrödinger equation with Kerr law, power law and log law of nonlinearity is studied, and bright, dark soliton, Jacobian elliptic function solutions and combined solutions are found by applying the Riccati equation approach, Jacobian elliptic function approach and double function approach. Dynamical evolution of these fractional solitons is discussed, and two kinds of dark solitons and two kinds of bright solitons are found.