Sharp local well-posedness holds for the Hirota-Satsuma system in H^k(R) × H^s(R) with k and s possibly unequal, determined by the dispersion ratio, generalizing the equal-regularity case.
On the regularization mechanism for the periodic Korteweg-de Vries equation
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Sharp local well-posedness for the Hirota-Satsuma system
Sharp local well-posedness holds for the Hirota-Satsuma system in H^k(R) × H^s(R) with k and s possibly unequal, determined by the dispersion ratio, generalizing the equal-regularity case.