Optical Soliton Solutions of a (3 + 1)-Dimensional Nonlinear Schrödinger Equation with Cubic-Quintic-Septic Nonlinearity

Abstract

In this paper, we studied the extended (3+1)-dimensional NLSE that has cubic-quintic-septic nonlinearity term. To obtain meaningful results, we first defined the wave transform and applied it to the NLSE. We then derived the ordinary differential equation (ODE). We gave brief information about the new Kudryashov method (nKM) and applied it to our problem. Finally, we solved the system using Maple. Using these solutions, we obtained a bright soliton and then illustrated the graphics and analyzed the effect of the parameters of the equation on the graph of such a soliton solution. © 2025, Murat TOSUN. All rights reserved.