Peaked and Smooth Solitons for Equation
Yongan Xie,
Hualiang Fu and
Shengqiang Tang
Journal of Applied Mathematics, 2013, vol. 2013, 1-10
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.
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:518415
DOI: 10.1155/2013/518415
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