K e y w o r d s A d o m i a n decomposition method, Fourth-order Runge-Kutta method, System of ordinary differential equations. 1. I N T R O D U C T I O N Many scientific and technological problemsâ€¦ (More)

A relatively new decomposition method is presented to find the explicit and numerical solutions of the Kortewegâ€“de Vries equation (KdV for short), Burgers equation and Kortewegâ€“de Vries Burgersâ€¦ (More)

The decomposition method for solving the sine-Gordon equation has been implemented. By using a number of initial values, the explicit and numerical solutions of the equation are calculated in theâ€¦ (More)

We consider a coupled system of viscous Burgersâ€™ equations with appropriate initial values using the decomposition method. In this method, the solution is calculated in the form of a convergent powerâ€¦ (More)

The decomposition method for solving the Kleinâ€“Gordon equation has been implemented. The explicit and numerical solutions of the equation are calculated in the form of convergent power series withâ€¦ (More)

We consider solitary-wave solutions of the combined Korteweg de Vriesâ€“Modified Korteweg de Vries (KdVâ€“MKdV) equation. We prove the convergence of Adomian decomposition method (ADM) applied to theâ€¦ (More)