In this study, we used two unique approaches, namely the Yang transform decomposition method (YTDM) and homotopy perturbation (HPTM), to derive approximate analytical solutions for nonlinear time-fractional Zakharov–Kuznetsov equations (ZKEs). This framework demonstrated behavior of weakly ion-acoustic waves in plasma containing cold ions hot isothermal electrons presence a uniform magnetic flu...

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In this paper, we consider the (3 + 1)-dimensional fractional-stochastic quantum Zakharov–Kuznetsov equation (FSQZKE) with M-truncated derivative. To find novel trigonometric, hyperbolic, elliptic, and rational fractional solutions, two techniques are used: Jacobi elliptic function approach modified F-expansion method. We also expand on a few earlier findings. The extended has practical applica...

The natural transform decomposition method (NTDM) is a relatively new transformation for finding an approximate differential equation solution. In the current study, NTDM has been used obtaining solution of fractional-order generalized perturbed Zakharov–Kuznetsov (GPZK) equation. tested three nonlinear cases GPZK absolute errors are analyzed by proposed and q-homotopy analysis (q-HATM). 3D 2D ...

In this paper, the Aboodh transform is utilized to construct an approximate analytical solution for time-fractional Zakharov–Kuznetsov equation (ZKE) via Adomian decomposition method. context of a uniform magnetic flux, framework illustrates action weakly nonlinear ion acoustic waves in plasma carrying cold ions and hot isothermal electrons. Two compressive rarefactive potentials (density fract...