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Exact Peakon, Compacton, Solitary Wave, and Periodic Wave Solutions for a Generalized KdV Equation

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  • Qing Meng
  • Bin He

Abstract

We employ the approaches of both dynamical system and numerical simulation to investigate a generalized KdV equation, which is presented by Yin (2012). Some peakon, compacton, solitary wave, smooth periodic wave, and periodic cusp wave solutions are obtained, and the planar graphs of the compactons and the periodic cusp waves are simulated.

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  • Qing Meng & Bin He, 2013. "Exact Peakon, Compacton, Solitary Wave, and Periodic Wave Solutions for a Generalized KdV Equation," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-19, November.
    • Handle: RePEc:hin:jnlmpe:602432
    DOI: 10.1155/2013/602432
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