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New exact travelling wave solutions of nonlinear physical models

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  • Bekir, Ahmet
  • Cevikel, Adem C.

Abstract

In this work, we established abundant travelling wave solutions for some nonlinear evolution equations. This method was used to construct travelling wave solutions of nonlinear evolution equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The G′G-expansion method presents a wider applicability for handling nonlinear wave equations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:4:p:1733-1739
    DOI: 10.1016/j.chaos.2008.07.017
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    References listed on IDEAS

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    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. He, Ji-Huan & Wu, Xu-Hong, 2006. "Exp-function method for nonlinear wave equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(3), pages 700-708.
    3. Yusufoğlu, Elcin & Bekir, Ahmet, 2008. "Exact solutions of coupled nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 842-848.
    4. Darwish, A.A. & Ramady, A., 2007. "Applications of algebraic method to exactly solve some nonlinear partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1263-1274.
    5. 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.
    6. 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.
    7. Yusufoğlu, E. & Bekir, A. & Alp, M., 2008. "Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine–Cosine method," Chaos, Solitons & Fractals, Elsevier, vol. 37(4), pages 1193-1197.
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    Cited by:

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    2. Ling, Xing-qian & Zhang, Wei-guo, 2021. "Orbital stability of dn periodic solutions for the generalized symmetric regularized-long-wave equation," Applied Mathematics and Computation, Elsevier, vol. 405(C).

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