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A novel analytical solution for the modified Kawahara equation using the residual power series method

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An Erratum to this article was published on 24 April 2017

Abstract

In this paper, strongly nonlinear partial differential equations termed the modified Kawahara equations are investigated analytically using residual power series method, a modern and effective method. The method supplies good accuracy for analytical solutions when compared to exact solutions. By means of an illustrative example we show that the present technique performs better than other methods for solving nonlinear equations. The action time and influence of term parameters of terms are shown graphically.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Duhok, Dohuk, Kurdistan Region, Iraq

    Bewar A. Mahmood

  2. Department of Mathematics, Faculty of Science, University of Zakho, International Road Zakho-Duhok, P.O. Box 12, Duhok, Kurdistan Region, Iraq

    Majeed A. Yousif

Authors
  1. Bewar A. Mahmood
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  2. Majeed A. Yousif
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Correspondence to Bewar A. Mahmood.

Additional information

An erratum to this article is available at http://dx.doi.org/10.1007/s11071-017-3534-x.

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Mahmood, B.A., Yousif, M.A. A novel analytical solution for the modified Kawahara equation using the residual power series method. Nonlinear Dyn 89, 1233–1238 (2017). https://doi.org/10.1007/s11071-017-3512-3

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  • DOI: https://doi.org/10.1007/s11071-017-3512-3

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