High Quality Content by WIKIPEDIA articles! In fluid dynamics, the Camassa–Holm equation is the integrable, dimensionless and non-linear partial differential equation. The equation was introduced by Camassa and Holm as a bi-Hamiltonian model for waves in shallow water, and in this context the parameter ? is positive and the solitary wave solutions are smooth solitons. In the special case that ? is equal to zero, the Camassa–Holm equation has peakon solutions: solitons with a sharp peak, so with a discontinuity at the peak in the wave slope.

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