| Abstract: |
| The Camassa--Holm equation is a nonlinear partial differential equation that models unidirectional wave propagation on shallow water. I will show how to integrate this equation by means of solving an inverse spectral problem for a Sturm--Liouville problem with an indefinite weight. The global conservative (weak) solutions obtained in this way form into a train of (in general infinitely many) peakons in the long-time limit. |
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