A Continuum Limit of the Toda Lattice - Brossura

Deift, Percy; McLaughlin, Kenneth T-R

 
9780821806913: A Continuum Limit of the Toda Lattice
Brossura
ISBN 10: 0821806912 ISBN 13: 9780821806913
Casa editrice: Amer Mathematical Society, 1998

Sinossi

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.

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Editore
Amer Mathematical Society
Data di pubblicazione
1998
Lingua
Inglese
ISBN 10 
0821806912
ISBN 13 
9780821806913
Rilegatura
Copertina flessibile
Numero di pagine
216
Contatto del produttore
non disponibile
Persona responsabile
non disponibile