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Paperback A Continuum Limit of the Toda Lattice Book

ISBN: 0821806912

ISBN13: 9780821806913

A Continuum Limit of the Toda Lattice

In this book, the authors describe a continuum limit of the Toda ODE system, obtained by taking as initial data for the finite lattice successively finer discretizations of two smooth functions. Using the integrability of the finite Toda lattice, the authors adapt the method introduced by Lax and Levermore for the study of the small dispersion limit of the Korteweg de Vries equations to the case of the Toda lattice. A general class of initial data...

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