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A Continuum Limit of the Toda Lattice

A Continuum Limit of the Toda Lattice - Memoirs of the American Mathematical Society

Paperback (30 Mar 1998)

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Publisher's Synopsis

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.

Book information

ISBN: 9780821806913
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 530.15474
DEWEY edition: 21
Language: English
Number of pages: 216
Weight: 408g
Height: 177mm
Width: 252mm
Spine width: 20mm