This section concludes with a discussion of our findings and a comparison to previously avaiable work. The researched equation has been approached from a variety of angles in the published work. For example, Rehman et al, investigated the gKdV-ZK equation and secured a variety of solutions by applying the new modified extended direct algebraic method [
58]. In [
67], three dimensional extended ZK dynamical equation and modified KdV-Zakharov-Kuznetsov was analyzed with the assistance of modified extended direct algebraic method. The (3 + 1)-dimensional gKdV-ZK equation was studied for securing diversity of solitary wave solutions by utilizing the Lie symmetry reductions, snoidal and cnoidal periodic wave solutions were discussed for a special case [
68]. In [
69], mKdV-ZK equation governing the oblique propagation of nonlinear electrostatic modes was analyzed by using the reductive perturbation procedure. Moreover, the different types of topological and non-topological soliton solutions have been extracted by the use of rational sine-cosine and sinh-cosh methods to the modified-mixed KdV equation and bidirectional waves for the Benjamin Ono equation [
70]. In [
71], the generalized exponential rational function has been applied to secure different solutions for (3 + 1) dimensional equation. Extended (2 + 1)-dimensional quantum Zakharov-Kuznetsov equation with power-law nonlinearity has been discussed for securing different kind of solutions [
72]. A variety of solutions were exracted by the application of generalized Kudryashov method, the generalized exponential rational function method, and the generalized Riccati equation mapping method [
73]. Additionally, when a connection is made between the solutions obtained using these applied methods and those obtained previously using various techniques, it is discovered that only a few types of the obtained solutions are identical to those realised previously, while the majority are novel, indicating the novelty of our obtained solutions.