The Double-Hump Soliton Solutions of the Coupled Manakov Equations in Fiber Lasers

We will study the transmission of double-hump solitons of the coupled Manakov equations (CME) that have unlimited position for the generation and amplification of double-hump solitons in fiber lasers. These double-hump soliton solutions of CME will be extracted by using three ansatz techniques that are prepared for this target. The first one has profile name the solitary wave ansatz method (SWAM), while the second one has profile name the extended simple equation method (ESEM) and the third one has profile name the Paul-Painlevé approach method (PPAM). The three proposed methods are used for the first time to construct the soliton solutions of this model. The simulation for the 2D, 3D Figures for all obtained solutions has been established.