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

  • Rajan Arora
  • Antim Chauhan
Original Paper
  • 60 Downloads

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.

Keywords

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

Notes

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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Copyright information

© Springer Nature India Private Limited 2018

Authors and Affiliations

  1. 1.Department of Applied Science and EngineeringIIT RoorkeeSaharanpurIndia

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