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The Optimal Homotopy Asymptotic Method with Application to Modified Kawahara Equation

H. Ullah,R. Nawaz,S. Islam,M. Idrees,M. Fiza

Journal of the Association of Arab Universities for Basic and Applied Sciences/Maǧallaẗ ittiḥād al-ǧāmiʻāẗ al-ʻarabiyyaẗ li-l-ʻulūm al-asāsiyyaẗ wa-al-taṭbīqittaẗ（2015）

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Abstract
In this paper the optimal homotopy asymptotic method (OHAM) is introduced for obtaining the approximate solution of modified Kawahara equations. The OHAM results are compared with Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM) and Exact solutions. The comparison of OHAM with these methods reveals that OHAM is very effective, reliable and efficient.
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Key words
Modified Kawahara equation,Approximate solution,VIM,HPM,Exact solution,OHAM
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