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The Periodic Solitary Wave Solutions for the (2 + 1)-Dimensional Fifth-Order KdV Equation

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DOI: 10.4236/jamp.2014.27070    2,798 Downloads   3,676 Views Citations
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ABSTRACT

The (2 + 1)-dimensional fifth-order KdV equation is an important higher-dimensional and higher-order extension of the famous KdV equation in fluid dynamics. In this paper, by constructing new test functions, we investigate the periodic solitary wave solutions for the (2 + 1)-dimensional fifth-order KdV equation by virtue of the Hirota bilinear form. Several novel analytic solutions for such a model are obtained and verified with the help of symbolic computation.

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Meng, X. (2014) The Periodic Solitary Wave Solutions for the (2 + 1)-Dimensional Fifth-Order KdV Equation. Journal of Applied Mathematics and Physics, 2, 639-643. doi: 10.4236/jamp.2014.27070.

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