Many new exact solutions to the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms using three different techniques

Many new types of Jacobi elliptic function solutions, solitons and other solutions to the higher-order nonlinear Schrödinger equation with derivative non-Kerr nonlinear terms have been found using three mathematical techniques, namely, the special kind of (G′/G)-expansion method, the ϕ6-model expansion method and the new mapping method. This equation could be a model equation of pulse propagation beyond ultrashort range in optical communication systems. This model is photonic crystal fiber (PCF). Comparing our new results with the well-known results are given. Also, we compare the results yielding from the three methods with each other.