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The repeated homogeneous balance method and its applications to nonlinear partial differential equations

Author

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  • Zhao, Xiqiang
  • Wang, Limin
  • Sun, Weijun

Abstract

In this letter, a new method, called the repeated homogeneous balance method, is proposed for seeking the traveling wave solutions of nonlinear partial differential equations. The Burgers–KdV equation is chosen to illustrate our method. It has been confirmed that more traveling wave solutions of nonlinear partial differential equations can be effectively obtained by using the repeated homogeneous balance method.

Suggested Citation

  • Zhao, Xiqiang & Wang, Limin & Sun, Weijun, 2006. "The repeated homogeneous balance method and its applications to nonlinear partial differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 28(2), pages 448-453.
    • Handle: RePEc:eee:chsofr:v:28:y:2006:i:2:p:448-453
    DOI: 10.1016/j.chaos.2005.06.001
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    Cited by:

    1. Yusufoğlu, Elcin & Bekir, Ahmet, 2008. "Exact solutions of coupled nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 37(3), pages 842-848.
    2. Khani, F., 2009. "Analytic study on the higher order Ito equations: New solitary wave solutions using the Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 2128-2134.
    3. Borhanifar, A. & Kabir, M.M. & Maryam Vahdat, L., 2009. "New periodic and soliton wave solutions for the generalized Zakharov system and (2+1)-dimensional Nizhnik–Novikov–Veselov system," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1646-1654.
    4. (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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