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Title of Journal: Indian J Phys

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Abbravation: Indian Journal of Physics

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Springer India

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DOI

10.1007/s40014-012-0720-0

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0974-9845

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Peaked and smooth solitons for Emphasis Type="Ita

Authors: H Fu Y Tang S Tang H Yan Q Liu
Publish Date: 2013/09/03
Volume: 88, Issue: 1, Pages: 83-91
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Abstract

The qualitative theory of differential equations is applied to K 3 1 equation u t  = u x u + 2αuu xxx  + 2u x u xx Our procedure shows that K 3 1 equation has the regular peakon soliton cuspon soliton and smooth soliton solutions when sitting on nonzero constant pedestal lim xrightarrowpminftyu=Aneq 0 or possesses compacton solutions only when lim xrightarrowpminftyu=A=0 In particular mathematical analysis and numerical graph are provided for those peakon cuspon compacton and smooth soliton solutions

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