Title of article :
Numerical solution of seven-order Sawada-Kotara equations by homotopy perturbation method
Author/Authors :
Ghasemi, M. Department of Applied Mathematics - Faculty of Science - Shahrekord University , Azizi, A. Department of Mathematics - Sanandaj Branch, Islamic Azad University , Fardi, M. Department of Mathematics - Boroujen Branch, Islamic Azad University
Abstract :
In this paper, an application of homotopy perturbation method is applied to finding the solutions of the seven-order Sawada-Kotera (sSK) and a Lax’s seven-order KdV (LsKdV) equations. Then obtain the exact solitary-wave solutions and numerical solutions of the sSK and LsKdV equations for the initial conditions. The numerical solutions are compared with the known analytical solutions. Their remarkable accuracy are finally demonstrated for the both seven-order equations.
Keywords :
Homotopy perturbation method , The seventh-order Sawada-Kotera equation , seventh-order KdV equation , Solitary-wave solution
Journal title :
نظريه تقريب و كاربردهاي آن
