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On the long wave limit of the good Boussinesq equation
We consider the good Boussinesq equation on the line. Sufficiently regular solutions are known to converge in the long wave limit to a pair of counterpropagating solutions to the Korteweg--de Vries equation. We prove that this convergence holds for solutions in $H^{-\frac12}$, the largest Sobolev sp
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