The Properties of Solutions for a Generalized b-Family Equation with Peakons

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

The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations

Adrian Constantin, David Lannes · Archive for Rational Mechanics and Analysis · 2008 · 1K citations · Full text

Natural Sciences, Earth Sciences, Differential Equations +9

Stability of peakons

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

Natural Sciences, Oceanography, Differential Equations +9

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

The trajectories of particles in Stokes waves

Adrian Constantin · Inventiones mathematicae · 2006 · 754 citations

Natural Sciences, Physics, Fluid Dynamics +10