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Peaked and Smooth Solitons for Equation

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  • Yongan Xie
  • Hualiang Fu
  • Shengqiang Tang

Abstract

This paper is contributed to explore all possible single peak solutions for the equation . Our procedure shows that the equation either has peakon, cuspon, and smooth soliton solutions when sitting on a nonzero constant pedestal or possesses compacton solutions only when . We present a new smooth soliton solution in an explicit form. Mathematical analysis and numeric graphs are provided for those soliton solutions of the equation.

Suggested Citation

  • Yongan Xie & Hualiang Fu & Shengqiang Tang, 2013. "Peaked and Smooth Solitons for Equation," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-10, December.
    • Handle: RePEc:hin:jnljam:518415
    DOI: 10.1155/2013/518415
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