The derivation of the new exact wave solutions of the new Hamiltonian amplitude equation through (𝑚+1𝐺′⁄)-expansion method

In this paper, the new Hamiltonian amplitude equation (NHAE) is considered to investigate the new exact wave solutions via the (𝑚+1𝐺′⁄)-expansion method. This model has become very important due to being useful for understanding the behaviors of the traveling waves in the field of applied sciences including fluids, plasmas and optics. The proposed method has enabled to reveal the new complex solutions to NHAE which are also verified by Mathematica. 3D graphs, contour and the density plots together with 2D graphs have been presented for the acquired exact solutions. These solutions have also been compared with the results reported in the literature before. The presented different solution structures have shown that the proposed method is an effective, powerful and straightforward analytical method.