Abstract
We establish the local well-posedness for a new integrable equation. We prove that the equation has strong solutions that blow up in finite time and obtain the precise blow-up scenario for this equation. Moreover, we provide a framework of weak solutions for the study of soliton interaction.
Citation
Zhaoyang Yin. "On the Cauchy problem for an integrable equation with peakon solutions." Illinois J. Math. 47 (3) 649 - 666, Fall 2003. https://doi.org/10.1215/ijm/1258138186
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