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Lie Symmetry Reductions and Solitary Wave Solutions of Modified Equal Width Wave Equation

International Journal of Applied and Computational Mathematics volume 4, Article number: 122 (2018) Cite this article

Abstract

In this paper, we obtained the exact and solitary wave solutions of modified equal width wave equation by using Lie symmetry method. With the help of MAPLE software we obtained infinitesimal generators and commutation table. Lie symmetry transformation has been used for converting nonlinear partial differential equation into nonlinear ordinary differential equation. Then, we used tanh method and power series method for solving reduced nonlinear ordinary differential equations. Convergence of power series solution has also been shown.

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Acknowledgements

The second author is thankful to the “University Grants Commission (UGC)” India for financial support to carry out her research work.

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Authors and Affiliations

  1. Department of Applied Science and Engineering, IIT Roorkee, Saharanpur Campus, Saharanpur, U.P., 247001, India

    Rajan Arora & Antim Chauhan

Authors
  1. Rajan Arora
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  2. Antim Chauhan
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Correspondence to Antim Chauhan.

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Arora, R., Chauhan, A. Lie Symmetry Reductions and Solitary Wave Solutions of Modified Equal Width Wave Equation. Int. J. Appl. Comput. Math 4, 122 (2018). https://doi.org/10.1007/s40819-018-0557-z

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  • DOI: https://doi.org/10.1007/s40819-018-0557-z

Keywords

  • Modified equal width wave (MEWW) equation
  • Lie symmetry analysis method
  • Tanh method
  • Power series solution
  • Symbolic computation