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19932026
most citedAn integrable shallow water equation with peaked solitons

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nlin.CD2003★ 11 cited

Momentum Maps and Measure-valued Solutions (Peakons, Filaments and Sheets) for the EPDiff Equation

Darryl D. Holm, Jerrold E. Marsden

We study the dynamics of measure-valued solutions of what we call the EPDiff equations, standing for the {\it Euler-Poincaré equations associated with the diffeomorphism group (of…