Peakon solutions of the Novikov equation and properties of the data-to-solution map

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

A New Integrable Equation with Peakon Solutions

A. Degasperis, Darryl D. Holm, Andrew N. W. Hone · Theoretical and Mathematical Physics · 2002 · 726 citations

Natural Sciences, Mathematics, Differential Equations +11

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

Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation

Yi A. Li, Peter J. Olver · Journal of Differential Equations · 2000 · 640 citations

Natural Sciences, Mathematics, Differential Equations +12