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A continuum limit of the Toda lattice

About this Title

P. Deift and K. T-R McLaughlin

Publication: Memoirs of the American Mathematical Society
Publication Year: 1998; Volume 131, Number 624
ISBNs: 978-0-8218-0691-3 (print); 978-1-4704-0213-6 (online)
DOI: https://doi.org/10.1090/memo/0624
MathSciNet review: 1407901
MSC: Primary 58F07; Secondary 35Q53

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Analysis of log formula
  • 3. An example
  • 4. Monotone initial data
  • 5. Shock 1
  • 6. Shock 2
  • 7. Shock 3
  • 8. Shock 4
  • 9. Symmetric data
  • 10. Global description
  • 11. Large time calculations
  • 12. Appendix I - WKB
  • 13. Appendix II