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The Gardner equation and the L^2-stability of the N-soliton solution of the Korteweg-de Vries equation
KdV equation Gardner equation integrability multi-soliton stability
2011/2/25
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 [23]. The proof is surprisingly simple and com...