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 ...

Abstract The main purpose here is the study of dispersive blow-up for solutions Zakharov-Kuznetsov equation. Dispersive refers to point singularities due focusing short or long waves. We will construct initial data such that linear problem present this kind singularities. Then we show corresponding nonlinear inherited from component part Similar results are obtained generalized

Abstract We propose a new modification of homotopy perturbation method (HPM) called the δ -homotopy transform ( -HPTM). This consists Laplace method, HPM, and control parameter . convergence in this helps adjusting controlling region series solution overcome some limitations HPM HPTM. The -HPTM q-homotopy analysis (q-HATM) are considered to study generalized time-fractional perturbed $(3+1)$ <m...

The evolution of lump solutions for the Zakharov-Kuznetsov equation and the surface electromigration equation, which describes mass transport along the surface of nanoconductors, is studied. Approximate equations are developed for these equations, these approximate equations including the important effect of the dispersive radiation shed by the lumps as they evolve. The approximate equations sh...

In this paper, a singularity structure analysis of the (2+1)-dimensional Zakharov equation is carried out and it is shown that it admits the Painleve property. The bilinear form of this equation is derived from the Painleve analysis in a straightforward manner. Using this bilinear form, we have constructed the simply one soliton solution by the Hirota method. We have then presented the localize...

The adiabatic N-soliton train interactions for the scalar nonlinear Schrö-dinger (NLS) equation and its perturbed versions are well studied. Here we briefly outline how they can be generalized for the higher NLS-type equations and for the multicompo-nent NLS equations. It is shown that in all these cases the complex Toda chain plays fundamental role. 1. Introduction. In a number of applications...

in this paper an approximate analytical solution of the fractional zakharov-kuznetsov equations will be obtained with the help of the reduced differential transform method (rdtm). it is in-dicated that the solutions obtained by the rdtm are reliable and present an effective method for strongly nonlinear fractional partial differential equations.

this paper studies the generalized version of thezakharov-kuznetsov benjamin-bona-mahoney equation. the functionalvariable method as well as the simplest equation method areapplied to obtain solitons and singular periodic solutions to theequation. there are several constraint conditions that arenaturally revealed in order for these specialized type ofsolutions to exist. the results of this pape...