Toda lattice solutions converge globally in time to KdV solutions in the long-wave continuum limit.
Guo,Global well-posedness of Korteweg-de Vries equation inH −3/4(R).J
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The Korteweg-de Vries limit for the global dynamics of the Toda lattice
Toda lattice solutions converge globally in time to KdV solutions in the long-wave continuum limit.