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Soliton Equations and Hamilton Systems
Advanced Series in Mathematical Physics Vol 12
The theory of soliton equations and integrable systems has developed rapidly over the past 20 years with applications in both mechanics and physics. A flood of papers followed a work by Gardner, Green, Kruskal and Mizura about the Korteweg-de Vries equation (KdV) which had seemend to be merely and unassuming equation of mathematical physics describing waves in shallow water.
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What Reviewers Are Saying
"There is a bibliography of 112 items. This book is pedagogically written and is highly recommended for its detailed description of the resolvent method for soliton equations." Mathematical Reviews, 1993 "The book of L A Dickey presents one more point of view on the mathematical theory of solitons or, in other words, on the theory of nonlinear partial differential equations ... The series of joint papers of I M Gelfand and L A Dickey in the middle of the seventies was an important step in the development of the mathematical theory of nonlinear integrable equations ... As a whole the book presents a very good exposition of the important part of the soliton theory." Mathematics Abstracts