• Chinese Journal of Quantum Electronics
  • Vol. 33, Issue 6, 680 (2016)
Xiaoli WANG* and Sirendaoerji
Author Affiliations
  • [in Chinese]
  • show less
    DOI: 10.3969/j.issn.1007-5461. 2016.06.006 Cite this Article
    WANG Xiaoli, Sirendaoerji. Exact solutions of nonlinear evolution equations with variable coefficients based onexp[-φ(ξ)]-expansion method[J]. Chinese Journal of Quantum Electronics, 2016, 33(6): 680 Copy Citation Text show less
    References

    [3] Hirota R. Exact solution of the KdV equation for multiple collisions of solitions [J]. Phys. Rev. Lett., 1971, 27(18): 1192-1194.

    [4] Steeb W H, Euler N. Nonlinear evolution equations and Painlevé test [J]. International Journal of Modern Physics A, 1992, 7(8): 344-354.

    [5] Ablowitz M J, Clarkson P A. Solitons, Nonlinear Evolution Equations and Inverse Scattering [M]. Cambridge: Cambridge University Press, 1991: 123-136.

    [7] Parkes E J, Duffy B R. An automated tanh-function for finding solitary wave solutions to non-linear evolution equations [J]. Comput. Phys. Commun., 1996, 98: 288-300.

    [9] Wang M L, Zhang J L, Li X Z. The G′/G-expansion method and traveling wave solutions of nonlinear evolution equation in mathematical physics [J]. Phys. Lett. A, 2008, 372(4): 417-423.

    [10] Abdelrahman M A E, Zahran E H M, Khater M M A. Exact traveling wave solutions for power law and Kerr law non linearity using the exp[-φ(ξ)]-expansion method [J]. Global Journal of Science Frontier Research, 2014, 14: 52-60.

    [11] Maha S M S. The exp[-φ(ξ)] method and its applications for solving some nonlinear evolution equations in mathematical physics [J]. American Journal of Computational Mathematics, 2015, 5(4): 468-480.

    [12] Meng G Q, Yu X, Gao Y T, et al. Painlevé analysis, Lax pair, Bcklund transformation and multi-soliton solutions for a generalized variable-coefficient KdV-mKdV equation in fluids and plasmas [J]. Phys. Scr., 2012, 85(5): 1-12.

    [13] Triki H, Taha T R, Wazwaz A M. Solitary wave solutions for a generalized KdV-mKdV equation with variable coeffcients [J]. Math. Comput. Simul., 2010, 80(9): 1867-1873.

    WANG Xiaoli, Sirendaoerji. Exact solutions of nonlinear evolution equations with variable coefficients based onexp[-φ(ξ)]-expansion method[J]. Chinese Journal of Quantum Electronics, 2016, 33(6): 680
    Download Citation