An Extension of the Optimal Homotopy Asymptotic Method to Coupled Schrödinger-KdV Equation. (7th May 2014)

• Record Type: Journal Article
• Authors: Ullah, Hakeem; Islam, Saeed; Idrees, Muhammad; Fiza, Mehreen; Ul Haq, Zahoor
• Other Names: Wong Patricia J. Y. Academic Editor.
• Is Part Of: International journal of differential equations. Volume 2014(2014)
• Publication Date: 2014-05-07
• Subjects: Differential equations -- Periodicals; Differential equations; Periodicals; 515.35
• DOI: 10.1155/2014/106934
• Languages: English
• ISSNs: 1687-9643

Abstract

Abstract : We consider the approximate solution of the coupled Schrödinger-KdV equation by using the extended optimal homotopy asymptotic method (OHAM). We obtained the extended OHAM solution of the problem and compared with the exact, variational iteration method (VIM) and homotopy perturbation method (HPM) solutions. The obtained solution shows that extended OHAM is effective, simpler, easier, and explicit and gives a suitable way to control the convergence of the approximate solution.