A continuum limit of the Toda lattice
Author(s)
Bibliographic Information
A continuum limit of the Toda lattice
（Memoirs of the American Mathematical Society, no. 624）
American Mathematical Society, 1998
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"January 1998, volume 131, number 624 (end of volume)"
Includes bibliographical references
Description and Table of Contents
Description
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 is considered which permits, in particular, the formation of shocks. A novel feature of the analysis in this book is an extensive use of techniques from the theory of Riemann-Hilbert problems.
Table of Contents
Introduction Analysis of Log formula An example Monotone initial data Shock 1 Shock 2 Shock 3 Shock 4 Symmetric data Global description Large time calculations Appendix I--WKB Appendix II Bibliography.
by "Nielsen BookData"
