Breakdown of a shallow water 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

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

Well-posedness, global existence, and blowup phenomena for a periodic quasi-linear hyperbolic equation

Adrian Constantin, Joachim Escher · Communications on Pure and Applied Mathematics · 1998 · 673 citations

Natural Sciences, Mathematics, Differential Equations +16

A shallow water equation as a geodesic flow on the Bott-Virasoro group

Gerard Misio łek · Journal of Geometry and Physics · 1998 · 466 citations · Full text

Natural Sciences, Hydrology, Gravity +7