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Bakodah, H.O. and Banaja, M.A. (2013) The Method of Lines Solution of the Regularized Long-Wave Equation Using Runge-Kutta Time Discretization Method. Mathematical Problems in Engineering, 2013, Article ID: 804317.
https://doi.org/10.1155/2013/804317

has been cited by the following article:

• TITLE: Approximate Solution Method of the Seventh Order KdV Equations by Decomposition Method

  AUTHORS: Nawal Abdullah Alzaid, Bashayr Ali Alrayiqi

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

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.9, September 28, 2019

  ABSTRACT: 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.