NONEXISTENCE OF SOLITON-LIKE SOLUTIONS FOR DEFOCUSING GENERALIZED KDV EQUATIONS

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We consider the global dynamics of the defocusing generalized KdV equation partial derivative(t)u + partial derivative(3)(x)u = partial derivative(x)(vertical bar u vertical bar(P-1)u). We use Tao's theorem [5] that the energy moves faster than the mass to prove a moment type dispersion estimate. As an application of the dispersion estimate, we show that there is no soliton-like solutions with a certain decaying assumption.
Publisher
TEXAS STATE UNIV
Issue Date
2015-02
Language
English
Article Type
Article
Citation

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

ISSN
1072-6691
URI
http://hdl.handle.net/10203/196103
Appears in Collection
MA-Journal Papers(저널논문)
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