Two-component integrable systems modelling shallow water waves: The constant vorticity case

<i>Linear and Nonlinear Waves</i>

G. B. Whitham, Richard Fowler · Physics Today · 1975 · 8.3K citations

Natural Sciences, Mathematics, Physics +17

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

Wave breaking for nonlinear nonlocal shallow water equations

Adrian Constantin, Joachim Escher · Acta Mathematica · 1998 · 1.5K citations · Full text

Natural Sciences, Mathematics, Oceanography +12

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

The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories

Darryl D. Holm, Jerrold E. Marsden, Tudor S. Raţiu · Advances in Mathematics · 1998 · 998 citations · Full text

Natural Sciences, Mathematics, Physics +10