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Improved Jacobi-function method with symbolic computation to construct new double-periodic solutions for the generalized Ito system

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  • Zhao, Xueqin
  • Zhi, Hongyan
  • Zhang, Hongqing

Abstract

The generalized Jacobi elliptic function method is further improved by picking up an elliptic equation’s new solutions and introducing a general ansätz. It is very powerful to uniformly construct more new exact doubly-periodic solutions in terms of rational formal Jacobi elliptic function of nonlinear evolution equations (NLEEs). As an application of the method, we choose the generalized Ito system to illustrate the method. The solitary wave solutions and triangular periodic solutions can be obtained at their limit condition.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:1:p:112-126
    DOI: 10.1016/j.chaos.2005.05.016
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    Cited by:

    1. Bekir, Ahmet & Boz, Ahmet, 2009. "Application of Exp-function method for (2+1)-dimensional nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 458-465.
    2. Nur Alam & Fethi Bin Muhammad Belgacem, 2016. "Microtubules Nonlinear Models Dynamics Investigations through the exp(−Φ(ξ))-Expansion Method Implementation," Mathematics, MDPI, vol. 4(1), pages 1-13, February.
    3. 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.
    4. 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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