A Continuum Limit of the Toda Lattice

by Percy Deift

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...

• Format: Paperback
• Language: English
• ISBN: 0821806912
• ISBN13: 9780821806913
• Release Date: January 1998
• Publisher: Oxford University Press, USA
• Length: 216 Pages