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...

we apply the improved G′/G -expansion method for constructing abundant new exact traveling wave solutions of the 2 1 -dimensional Modified Zakharov-Kuznetsov equation. In addition, G ′′ λG′ μG 0 together with b α ∑w q −w pq G ′/G q is employed in this method, where pq q 0,±1,±2, . . . ,±w , λ and μ are constants. Moreover, the obtained solutions including solitons and periodic solutions are des...

a r t i c l e i n f o a b s t r a c t Initial–boundary value problems for the linear 2D Zakharov–Kuznetsov equation posed on bounded rectangles and on a channel-like strip are considered. We suggest a condition on a part of the boundary such that the evolution problem posed on a bounded rectangle has no critical restrictions on its size. The similar results are obtained both for a 2D strip and ...

We show that the initial value problem associated to the dispersive generalized Benjamin-Ono-Zakharov-Kuznetsov equation ut −D α xux + uxyy = uux, (t, x, y) ∈ R , 1 ≤ α ≤ 2, is locally well-posed in the spaces Es, s > 2 α − 3 4 , endowed with the norm ‖f‖Es = ‖〈|ξ| α + μ〉f̂‖L2(R2). As a consequence, we get the global wellposedness in the energy space E1/2 as soon as α > 8 5 . The proof is based ...

The (3 + 1) dimensional nonlinear ion acoustic waves in multicomponent complex plasma with Kappa electron distribution are studied this work. Zakharov-Kuznetsov (ZK) equation for wave is investigated by the reductive perturbation method. variation of system parameter obtained. Meanwhile, Sagdeev potential function obtained using And phase diagram a two-dimensional autonomous studied. Finally, i...