Solitary wave solutions and periodic cosine wave solutions of nonlinear wave equations

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College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China [1 ]
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Shanghai Ligong Daxue Xuebao | 2008年 / 1卷 / 15-21期
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摘要：
The exact solitary wave solutions in the fractional form of hyperbolic secant function and the periodic wave solutions in the form of cosine function for nonlinear wave equations are obtained by use of undetermined assumption method. The bounded properties of these solutions are provided detailedly. The correlative characteristics between the exact solitary wave solutions and the periodic cosine wave solutions, as the traveling wave velocity varies, are revealed.
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