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Exp-function method for constructing exact solutions of Sharma–Tasso–Olver equation

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  • Erbaş, Barış
  • Yusufoğlu, Elçin

Abstract

In this paper we use the Exp-function method for the analytic treatment of Sharma–Tasso–Olver equation. New solitonary solutions are formally derived. Change of parameters, which drastically changes the characteristics of the equations, is examined. It is shown that the Exp-function method provides a powerful mathematical tool for solving high-dimensional nonlinear evolutions in mathematical physics. The proposed schemes are reliable and manageable.

Suggested Citation

  • Erbaş, Barış & Yusufoğlu, Elçin, 2009. "Exp-function method for constructing exact solutions of Sharma–Tasso–Olver equation," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2326-2330.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2326-2330
    DOI: 10.1016/j.chaos.2008.09.003
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    References listed on IDEAS

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    1. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
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    6. Zhao, Xueqin & Zhi, Hongyan & Zhang, Hongqing, 2006. "Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 112-126.
    7. Wei, Cai-Min & Xia, Zun-Quan & Tian, Nai-Shuo, 2005. "Jacobian elliptic function expansion solutions of nonlinear stochastic equations," Chaos, Solitons & Fractals, Elsevier, vol. 26(2), pages 551-558.
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    Cited by:

    1. Lingxiao Li & Mingliang Wang & Jinliang Zhang, 2022. "The Solutions of Initial (-Boundary) Value Problems for Sharma-Tasso-Olver Equation," Mathematics, MDPI, vol. 10(3), pages 1-8, January.

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