Chinese Journal of Quantum Electronics, Volume. 31, Issue 2, 141(2014)

Application of extended simplest equation method to Whitham-Broer-Kaup-Like

Bilige SUDAO* and Xiao-min WANG
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  • [in Chinese]
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    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.

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    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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    Paper Information

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    Received: Oct. 12, 2013

    Accepted: --

    Published Online: Mar. 31, 2014

    The Author Email: Bilige SUDAO (inmathematica@126.com)

    DOI:10.3969/j.issn.1007-5461.2014.02.003

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