in this paper, nonlinear klein-gordon equation with quadratic term is solved by means of an analytic technique, namely the homotopy analysis method (ham).comparisons are made between the adomian decomposition method (adm), the exact solution and homotopy analysis method. the results reveal that the proposed method is very effective and simple.

In this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. Iteration perturbation method leads us to high accurate solution. Two different high nonlinear examples are also presented to show the application and accuracy of the presented method. The results are compared with analytical methods and with the numerical solution using Runge-Kutta m...

A theoretical investigation associated with obliquely propagating ion-acoustic shock waves (IASHWs) in a three-component magnetized plasma having inertialess non-extensive electrons, inertial warm positive and negative ions has been performed. Burgers equation is derived by employing the reductive perturbation method. Our model supports both structures under consideration of electrons. It found...

A warm degenerate magneto-rotating quantum plasma (WDMRQP) model consisting of a static heavy nucleus, inertial non-degenerate light and non-relativistic or ultra-relativistic electrons has been considered to observe the generation nucleus-acoustic (NA) solitary waves (NASWs). Korteweg–de-Vries-type equation is derived by using reductive perturbation method describe characteristics NASWs. It ob...

A theoretical investigation has been made on the propagation of ion-acoustic shock waves in a magnetized pair-ion plasma having inertial warm positive and negative ions inertialess super-thermal electrons positrons. The well known Burgers equation derived by employing reductive perturbation method. model supports both structures under consideration It is found that oblique angle (?) enhances ma...

In this paper, Elzaki Homotopy Perturbation Method is employed for solving linear and nonlinear differential equations with a variable coffecient. This method is a combination of Elzaki transform and Homotopy Perturbation Method. The aim of using Elzaki transform is to overcome the deficiencies that mainly caused by unsatised conditions in some semi-analytical methods such as Homotopy Perturbat...

The homotopy perturbation method is a powerful device for solving a wide variety of problems arising in many scientific applications. In this paper, we investigate several integral equations by using T-stability of the Homotopy perturbation method investigates for solving integral equations. Some illustrative examples are presented to show that the Homotopy perturbation method is T-stable for s...