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Peaked and smooth solitons for K* (4,1) equation
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نویسنده
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xie y. ,fu h. ,tang s.
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منبع
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journal of applied mathematics - 2013 - دوره : 2013 - شماره : 0
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چکیده
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This paper is contributed to explore all possible single peak solutions for the k* (4,1) equation u t = u x u 2 + 2 α (u u x x x + 2 u x u x x). our procedure shows that the k* (4,1) equation either has peakon,cuspon,and smooth soliton solutions when sitting on a nonzero constant pedestal lim → ± ∞ u = a ≠ 0 or possesses compacton solutions only when lim → ± ∞ u = a = 0. we present a new smooth soliton solution in an explicit form. mathematical analysis and numeric graphs are provided for those soliton solutions of the k* (4,1) equation. © 2013 yongan xie et al.
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آدرس
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school of mathematics and computing science,guilin university of electronic technology,guilin, China, school of mathematics and computing science,guilin university of electronic technology,guilin, China, school of mathematics and computing science,guilin university of electronic technology,guilin, China
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Authors
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