Infinite propagation speed of the Camassa-Holm equation |
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| Authors: | Jonatan Lenells |
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| Institution: | Department of Mathematics, Lund University, PO Box 118, 22100 Lund, Sweden |
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| Abstract: | We use the inverse scattering transform to show that a solution of the Camassa-Holm equation is identically zero whenever it vanishes on two horizontal half-lines in the x-t space. In particular, a solution that has compact support at two different times vanishes everywhere, proving that the Camassa-Holm equation has infinite propagation speed. |
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| Keywords: | Shallow water equation Inverse scattering transform Infinite propagation speed Camassa-Holm equation |
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