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The Fermi-Pasta-Ulam system and the Korteweg-de Vries equation: a low-regularity continuum limit
For the infinite Fermi-Pasta-Ulam (FPU) system, general solutions can be approximated by counter-propagating waves associated with solutions to the Korteweg-de Vries (KdV) equation as the lattice mesh size goes to zero. We show that, by exploiting the conservation of the FPU Hamiltonian, the continu
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