Three Lectures on “Fifty Years of KdV: An Integrable System”

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The goal in the first two Coxeter lectures was to give an answer to the question “What is an integrable system?” and to describe some of the tools that are available to identify and integrate such systems. The goal of the third lecture was to describe the role of integrable systems in certain numerical computations, particularly the computation of the eigenvalues of a random matrix. This paper closely follows these three Coxeter lectures, and is written in an informal style with an abbreviated list of references. Detailed and more extensive references are readily available on the web. The list of authors mentioned is not meant in any way to be a detailed historical account of the development of the field and I ask the reader for his’r indulgence on this score.

Original languageEnglish (US)
Title of host publicationFields Institute Communications
PublisherSpringer
Pages3-38
Number of pages36
DOIs
StatePublished - Jan 1 2019

Publication series

NameFields Institute Communications
Volume83
ISSN (Print)1069-5265
ISSN (Electronic)2194-1564

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ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Deift, P. A. (2019). Three Lectures on “Fifty Years of KdV: An Integrable System”. In Fields Institute Communications (pp. 3-38). (Fields Institute Communications; Vol. 83). Springer. https://doi.org/10.1007/978-1-4939-9806-7_1