Local well-posedness and wave breaking results for periodic solutions of a shallow water equation for waves of moderate amplitude

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

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

Stability theory of solitary waves in the presence of symmetry, II

Manoussos G. Grillakis, Jalal Shatah, Walter A. Strauss · Journal of Functional Analysis · 1990 · 1.3K citations

Engineering, Solitary Waves, Physics +6

Stability theory of solitary waves in the presence of symmetry, I

Manoussos G. Grillakis, Jalal Shatah, Walter A. Strauss · Journal of Functional Analysis · 1987 · 1K citations

Engineering, Solitary Waves, Physics +7

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