Extraction of new soliton solutions of (3+1)-dimensional nonlinear extended quantum Zakharov–Kuznetsov equation via generalized exponential rational function method and \(\left( \frac{G^{\prime }}{G},\frac{1}{G}\right) \) expansion method

This paper deals with the extraction of exact solutions of nonlinear extended quantum Zakharov–Kuznetsov equation by implementing well founded approaches like generalized exponential rational function method and \(\left( \frac{G^{\prime}}{G},\frac{1}{G}\right) \) $\left(\frac{G^{\prime }}{G},,,\frac{1}{G}\right)$ expansion method. Singular, periodic, hyperbolic and rational function solutions are achieved for particular values of parameters. The obtained solutions are discussed graphically by plotting 2D line plots and 3D surface plots. This research findings demonstrate that applying these approaches is a feasible means of solving numerous precise PDE solutions. The computations are worked out in this script with the aid of Mathematica software.