Global weak solutions and blow-up structure for the Degasperis–Procesi equation

<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

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

Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

Carlos E. Kenig, Gustavo Ponce, Luis Vega · Communications on Pure and Applied Mathematics · 1993 · 1.4K citations

Natural Sciences, Mathematics, Physics +14