Soliton solutions of nonlinear Schrödinger equation with the variable coefficients under the influence of Woods–Saxon potential
Yongyi Gu, Baixin Chen, Feng Ye, Najva Aminakbari
Abstract
In this article, we acquire soliton solutions of the nonlinear Schrödinger equation (NLSE) with x-spatially varying coefficients involving Woods–Saxon potential by using the extended (G′/G)-expansion method. To get acceptable conception of dynamic structures, 3D, line and contour maps plots of the obtained results under effect of potential and different values of coefficients are demonstrated. We numerically study the importance of the parameters appearing in the begotten results. These parameters play a crucial role in characterizing the physical structure and propagation direction of waves. The relationship between velocity and parameters is discussed by some numerical simulation. This study enriches the research of NLSE with potential. Moreover, the idea of this study can be utilized to other mathematical physics equations arising in nonlinear science.