Exact wave solutions of the fourth order non-linear partial differential equation of optical fiber pulses by using different methods

Abstract

In this work, we utilize the modified Jacobi elliptic function method and the modified(G′∕G) expansion method to get explicit exact solutions for the fourth order non-linear partial differential equation that describe the pulses dynamics in the optical fibers. With the aid of these methods, we get many exact solutions like bright and dark solitons, periodic, hyperbolic and rational type solutions.