On the Cauchy problem for the integrable modified Camassa–Holm equation with cubic nonlinearity

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

Symplectic structures, their Bäcklund transformations and hereditary symmetries

Benno Fuchssteiner, A. S. Fokas · Physica D Nonlinear Phenomena · 1981 · 1.9K citations

Natural Sciences, Mathematics, Physics +16

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

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