A Continuum Limit of the Toda Lattice Paperback / softback
by Percy Deift, K.T. McLaughlin
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
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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.
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Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:216 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/1998
- Category:
- ISBN:9780821806913
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:216 pages
- Publisher:American Mathematical Society
- Publication Date:30/03/1998
- Category:
- ISBN:9780821806913