On permanent and breaking waves in hyperelastic rods and rings

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

Model equations for long waves in nonlinear dispersive systems

T. Brooke Benjamin, Jerry L. Bona, J. J. Mahony · Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1972 · 2.1K citations

Natural Sciences, Mathematics, Differential Equations +15

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

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