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Application of Exp-function method for (2+1)-dimensional nonlinear evolution equations

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  • Bekir, Ahmet
  • Boz, Ahmet

Abstract

In this paper, the Exp-function method is used to construct solitary and soliton solutions of (2+1)-dimensional nonlinear evolution equations. (2+1)-dimensional breaking soliton (Calogero) equation, modified Zakharov–Kuznetsov and Konopelchenko–Dubrovsky equations are chosen to illustrate the effectiveness of the method. The method is straightforward and concise, and its applications are promising. The Exp-function method presents a wider applicability for handling nonlinear wave equations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:40:y:2009:i:1:p:458-465
    DOI: 10.1016/j.chaos.2007.07.086
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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.
    2. Ren, Yu-Jie & Zhang, Hong-Qing, 2006. "A generalized F-expansion method to find abundant families of Jacobi Elliptic Function solutions of the (2+1)-dimensional Nizhnik–Novikov–Veselov equation," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 959-979.
    3. El-Wakil, S.A. & Abdou, M.A., 2007. "New exact travelling wave solutions using modified extended tanh-function method," Chaos, Solitons & Fractals, Elsevier, vol. 31(4), pages 840-852.
    4. He, Ji-Huan & Abdou, M.A., 2007. "New periodic solutions for nonlinear evolution equations using Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1421-1429.
    5. Dai, Chaoqing & Zhang, Jiefang, 2006. "Jacobian elliptic function method for nonlinear differential-difference equations," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1042-1047.
    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. Abdou, M.A., 2007. "The extended F-expansion method and its application for a class of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 95-104.
    8. Wang, Dengshan & Zhang, Hong-Qing, 2005. "Further improved F-expansion method and new exact solutions of Konopelchenko–Dubrovsky equation," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 601-610.
    9. (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. Bekir, Ahmet & Cevikel, Adem C., 2009. "New exact travelling wave solutions of nonlinear physical models," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1733-1739.

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