Solutions of the Camassa-Holm equation with accumulating breaking times
Katrin Grunert
TL;DR
This paper introduces specific initial profiles for the Camassa-Holm equation that lead to solutions exhibiting accumulating breaking times, advancing understanding of solution behaviors in nonlinear wave equations.
Contribution
It provides explicit initial profiles that generate solutions with accumulating breaking times, a novel phenomenon in the study of the Camassa-Holm equation.
Findings
Solutions with accumulating breaking times are constructed.
Explicit initial profiles leading to this behavior are identified.
The phenomenon enriches the understanding of wave breaking in nonlinear PDEs.
Abstract
We present two initial profiles to the Camassa-Holm equation which yield solutions with accumulating breaking times.
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