A general family of multi-peakon equations and their properties
A general family of peakon equations is introduced, involving two arbitrary functions of the
wave amplitude and the wave gradient. This family contains all of the known breaking wave
equations, including the integrable ones: Camassa–Holm equation, Degasperis–Procesi
equation, Novikov equation, and FORQ/modified Camassa–Holm equation. One main result
is to show that all of the equations in the general family possess weak solutions given by
multi-peakons which are a linear superposition of peakons with time-dependent amplitudes …
wave amplitude and the wave gradient. This family contains all of the known breaking wave
equations, including the integrable ones: Camassa–Holm equation, Degasperis–Procesi
equation, Novikov equation, and FORQ/modified Camassa–Holm equation. One main result
is to show that all of the equations in the general family possess weak solutions given by
multi-peakons which are a linear superposition of peakons with time-dependent amplitudes …
A general family of multi-peakon equations and their properties
A general family of peakon equations is introduced, involving two arbitrary functions of the
wave amplitude and the wave gradient. This family contains all of the known breaking wave
equations, including the integrable ones: Camassa-Holm equation, Degasperis-Procesi
equation, Novikov equation, and FORQ/modified Camassa-Holm equation. One main result
is to show that all of the equations in the general family possess weak solutions given by
multi-peakons which are a linear superposition of peakons with time-dependent amplitudes …
wave amplitude and the wave gradient. This family contains all of the known breaking wave
equations, including the integrable ones: Camassa-Holm equation, Degasperis-Procesi
equation, Novikov equation, and FORQ/modified Camassa-Holm equation. One main result
is to show that all of the equations in the general family possess weak solutions given by
multi-peakons which are a linear superposition of peakons with time-dependent amplitudes …
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