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20062023
most citedThe Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation

8 citations · 21 across the 12 of their papers we have counts for

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Showing 2011Show all

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math.AP2011

The Gardner equation and the stability of multi-kink solutions of the mKdV equation

Claudio Muñoz

Multi-kink solutions of the defocusing, modified Korteweg-de Vries equation (mKdV) found by Grosse are shown to be globally -stable. Stability in the one-kink case was previou…

math.AP2011★ 8 cited

The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation

Miguel A. Alejo, Claudio Muñoz, Luis Vega

Multi-soliton solutions of the Korteweg-de Vries equation (KdV) are shown to be globally L2-stable, and asymptotically stable in the sense of Martel-Merle. The proof is surprisingl…