Soonsik Kwon, Shuanglin Shao
We consider the global dynamics of the defocusing generalized KdV equation
We use Tao's theorem  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.
Submitted May 21, 2013. Published February 24, 2015.
Math Subject Classifications: 35Q53.
Key Words: Generalized KdV equation; soliton, scattering.
Show me the PDF file (181 KB), TEX file, and other files for this article.
| Soonsik Kwon |
Department of Mathematical Sciences
Korea Advanced Institute of Science and Technology
291 Daehak-ro Yuseong-gu, Daejeon 305-701, Korea
| Shuanglin Shao |
Department of Mathematics, University of Kansas
Lawrence, KS 66045, USA
Return to the EJDE web page