Abstract—In this study, optimal perturbation iteration method is implemented to solve Korteweg de Vries (KdV)-like equation to obtain semi analytical solutions. We examine two illustrations to analyze the new optimal perturbation iteration method. This work displays that optimal perturbation iteration technique converges fast to the exact solutions of the differential equations at lower order of approximations.

Index Terms—Optimal perturbation iteration method, KdV equation.

The author is with Manisa Celal Bayar University, Faculty of Arts & Science, Department of Mathematics, Muradiye Campus, 45140, Manisa, Turkey (email: necdet.bildik@cbu.edu.tr).

Cite: Necdet Bildik, "On the Solution of KdV-Like Equations by the Optimal Perturbation Iteration Technique," International Journal of Applied Physics and Mathematics vol. 9, no. 1, pp. 29-37, 2019.