Numerical solution of seven-order Sawada-Kotara equations by homotopy perturbation method

Subject Areas : Applied Mathematics

M. Ghasemi ¹ , A. Azizi ² , M. Fardi ³

1 - Department of Applied Mathematics, Faculty of Science, Shahrekord University, Shahrekord, P. O. Box 115, Iran.
2 - Department of Mathematics, Sanandaj Branch, Islamic Azad University, Sanandaj, Iran.
3 - Department of Mathematics, Islamic Azad University, Boroujen Branch, Boroujen, Iran.

Received: 2015-09-30 Accepted : 2015-09-30 Published : 2013-05-01

Keywords: Homotopy Perturbation method, The seventh-order Sawada-Kotera equa- tion, seventh-order KdV equation, Solitary-wave solution,

Abstract :

In this paper, an application of homotopy perturbation method is appliedto nding the solutions of the seven-order Sawada-Kotera (sSK) and a Lax'sseven-order KdV (LsKdV) equations. Then obtain the exact solitary-wave so-lutions and numerical solutions of the sSK and LsKdV equations for the initialconditions. The numerical solutions are compared with the known analyticalsolutions. Their remarkable accuracy are nally demonstrated for the bothseven-order equations.

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