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Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp‐Function Methods

Author

Listed:
  • Hossein Jafari
  • Nematollah Kadkhoda
  • Chaudry Masood Khalique

Abstract

This paper obtains the exact solutions of the ϕ4 equation. The Lie symmetry approach along with the simplest equation method and the Exp‐function method are used to obtain these solutions. As a simplest equation we have used the equation of Riccati in the simplest equation method. Exact solutions obtained are travelling wave solutions.

Suggested Citation

  • Hossein Jafari & Nematollah Kadkhoda & Chaudry Masood Khalique, 2012. "Exact Solutions of ϕ4 Equation Using Lie Symmetry Approach along with the Simplest Equation and Exp‐Function Methods," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:350287
    DOI: 10.1155/2012/350287
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    References listed on IDEAS

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    1. Kudryashov, Nikolai A., 2005. "Simplest equation method to look for exact solutions of nonlinear differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 24(5), pages 1217-1231.
    2. (Benn)Wu, Xu-Hong & He, Ji-Huan, 2008. "EXP-function method and its application to nonlinear equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(3), pages 903-910.
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    Cited by:

    1. Han-yu Wei & Tie-cheng Xia, 2013. "Self‐Consistent Sources and Conservation Laws for Nonlinear Integrable Couplings of the Li Soliton Hierarchy," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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