Author(s)

Nawal Abdullah Alzaid¹, Bashayr Ali Alrayiqi²

¹Department of Mathematics, Faculty of Science, University of Jeddah, Jeddah, KSA.
²Department of Mathematics, College of Science and Arts, King Abdulaziz University, Rabigh, KSA.

In this paper, Adomian decomposition method (ADM) is implemented to approximate the solution of the Korteweg-de Vries (KdV) equations of seventh order, which are Kaup-Kuperschmidt equation and seventh order Kawahara equation. The results obtained by the ADM are compared with the exact solutions. It is found that the ADM is very efficient and convenient and can be applied to a large class of problems. The conservation properties of solution are examined by calculating the first three invariants.

Adomian Decomposition Method, Kaup-Kuperschmidt Seventh-Order KdV Equation, Seventh-Order Kawahara Equation, Conservation Laws

Alzaid, N. and Alrayiqi, B. (2019) Approximate Solution Method of the Seventh Order KdV Equations by Decomposition Method. Journal of Applied Mathematics and Physics, 7, 2148-2155. doi: 10.4236/jamp.2019.79147.