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dc.contributor.authorKwon, Soonsik
dc.contributor.authorShao, Shuanglin
dc.identifier.citationKwon, S., & Shao, S. (2012). Nonexistence of soliton-like solutions for defocusing generalized KdV equations. arXiv preprint arXiv:1205.0849.en_US
dc.description.abstractWe consider the global dynamics of the defocusing generalized KdV equation $$ \partial_t u + \partial_x^3 u = \partial_x(|u|^{p-1}u). $$ 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.en_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.rights© 2015 Texas State University - San Marcos.en_US
dc.titleNonexistence of soliton-like solutions for defocusing generalized KdV equationsen_US
kusw.kuauthorShao, Shuanglin
kusw.oaversionScholarly/refereed, publisher versionen_US
kusw.oapolicyThis item meets KU Open Access policy criteria.en_US

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