Formation and Dynamics of Shock Waves in the Degasperis-Procesi Equation

An integrable shallow water equation with peaked solitons

Roberto Camassa, Darryl D. Holm · Physical Review Letters · 1993 · 3.7K citations · Full text

Natural Sciences, Mathematics, Differential Equations +13

Stability of peakons

Adrian Constantin, Walter A. Strauss · Communications on Pure and Applied Mathematics · 2000 · 941 citations

Natural Sciences, Oceanography, Differential Equations +9

Existence of permanent and breaking waves for a shallow water equation: a geometric approach

Adrian Constantin · Annales de l’institut Fourier · 2000 · 873 citations · Full text

Natural Sciences, Earth Sciences, Mathematics +14

Global Conservative Solutions of the Camassa–Holm Equation

Alberto Bressan, Adrian Constantin · Archive for Rational Mechanics and Analysis · 2006 · 824 citations

Natural Sciences, Mathematics, Differential Equations +6

Camassa–Holm, Korteweg–de Vries and related models for water waves

R. S. Johnson · Journal of Fluid Mechanics · 2002 · 822 citations

Natural Sciences, Oceanography, Fluid Dynamics +12