Stability of peakons for the DGH equation

Journal of East China Normal University(Natural Sc ›› 2010, Vol. 2010 ›› Issue (5): 67-72, .

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Stability of peakons for the DGH equation

CHEN Hui-ping

Xinglin School, Nantong University, Nantong Jiangsu 226007, China

Received:2009-10-01 Revised:2010-02-01 Online:2010-09-25 Published:2010-09-25
Contact: CHEN Hui-ping

Abstract

Abstract: The peakons are peaked solitary wave solutions of a certain nolinear dispersive equation that is a model in shallow water theory. In this paper, the author showed that the peaked solitons to the DGH equation were orbital stable in H^1 norm by constructing a functional and conservation laws. The stability theorem indicates that, if a wave is close to the peakons at the beginning, it will remain close to some translate of it at any time later.

Key words: the DGH equation, peakons, stability, the DGH equation, peakons

CLC Number:

CHEN Hui-ping. Stability of peakons for the DGH equation[J]. Journal of East China Normal University(Natural Sc, 2010, 2010(5): 67-72, .

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Stability of peakons for the DGH equation

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