• Chinese Journal of Quantum Electronics
  • Vol. 31, Issue 2, 141 (2014)
Bilige SUDAO* and Xiao-min WANG
Author Affiliations
  • [in Chinese]
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    DOI: 10.3969/j.issn.1007-5461.2014.02.003 Cite this Article
    SUDAO Bilige, WANG Xiao-min. Application of extended simplest equation method to Whitham-Broer-Kaup-Like[J]. Chinese Journal of Quantum Electronics, 2014, 31(2): 141 Copy Citation Text show less

    Abstract

    By applying the extended simplest equation method, the new exact traveling wave solutions of the Whitham-Broer-Kaup-Like equations were successfully constructed. The exact traveling wave solutions with double arbitrary parameters are expressed by the hyperbolic functions, the trigonometric functions and the rational functions respectively. When the parameters are taken as special values, some solitary wave solutions are derived from the hyperbolic function solutions. The obtained results illustrate that the extended simplest equation method is direct, reliable and effective and can be used to obtain more exact traveling wave solutions of other nonlinear evolution equations in mathematical physics.
    SUDAO Bilige, WANG Xiao-min. Application of extended simplest equation method to Whitham-Broer-Kaup-Like[J]. Chinese Journal of Quantum Electronics, 2014, 31(2): 141
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