An Isospectral Problem for Global Conservative Multi-Peakon Solutions of the Camassa–Holm Equation

An integrable shallow water equation with peaked solitons

Roberto Camassa, Darryl D. Holm · Physical Review Letters · 1993 · 3.6K citations · Full text

Asymptotic Expansion, Soliton Solution, Nonlinear Wave Propagation +5

Symplectic structures, their Bäcklund transformations and hereditary symmetries

Benno Fuchssteiner, A. S. Fokas · Physica D Nonlinear Phenomena · 1981 · 1.8K citations

Backlund Transformation, Lie Point Symmetry, Hereditary Symmetries

Wave breaking for nonlinear nonlocal shallow water equations

Adrian Constantin, Joachim Escher · Acta Mathematica · 1998 · 1.4K citations · Full text

Nonlinear Wave Propagation, Wave Motion, Nonlinear Equation

The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations

Adrian Constantin, David Lannes · Archive for Rational Mechanics and Analysis · 2008 · 981 citations · Full text

Marine Hydrodynamics, Environmental Fluid Dynamic, Engineering +3

Stability of peakons

Adrian Constantin, Walter A. Strauss · Communications on Pure and Applied Mathematics · 2000 · 917 citations

Engineering, H1 Norm, Physics +7