in this paper, the variational homotopy perturbation method (vhpm) and its convergence is adopted for thezakharove-kuznetsov equations (zk-equations). the aim of this paper is to present an efficient and reliabletreatment of the vhpm for the nonlinear partial differential equations and show that this method is convergent.the convergence of the applied method is approved using the method of majo...

By the use of geometric methods for linearizing systems second-order cubically semi-linear ordinary differential equations and conditional linearizability third-order quintically equations, we extend to fourth-order by differentiating conditionally linearizable equation. This yields criteria a class which have not been discussed in literature previously.