A continuum limit of the Toda lattice P. Deift, K. T-R McLaughlin. Memoirs of the American Mathematical Society 624.

Deift, Percy:

ISBN 10: 0821806912 / ISBN 13: 9780821806913

Published by Providence R.I., American Mathematical Society, 1998

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 58 DEI 9780821806913 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2498220

Bibliographic Details

• Title: A continuum limit of the Toda lattice P. Deift, K. T-R McLaughlin. Memoirs of the American Mathematical Society 624.
• Publisher: Providence R.I., American Mathematical Society
• Publication Date: 1998
• Language: English
• ISBN 10: 0821806912
• ISBN 13: 9780821806913
• Binding: Softcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

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.