Traveling wave solutions to (3 + 1) conformal time derivative generalized q-deformed Sinh-Gordon equation

In this article, the three-dimensional conformal time derivative generalized q- deformed Sinh–Gordon equation is discussed analytically and numerically using the (G′/G)-expansion approach and finite element method respectively. The analytical method successfully extracts the solutions, as well as the appropriate constraint requirements for the existence of solutions, placed on parameters. The extended cubic B-spline technique is also used to present the numerical findings. We also provide numerous figures to demonstrate the various solitons propagation patterns. The proposed equation has opened up new options for describing physical systems that have lost their symmetry. This work is a continuation of series of works we are doing on this point. © 2022 THE AUTHORS