Integrable Systems
Published on 17. September 1981
Book
Paperback/Softback
276 pages
978-0-521-28527-8 (ISBN)
Description
This book considers the theory of 'integrable' non-linear partial differential equations. The theory was developed at first by mathematical physicists but later mathematicians, particularly from the Soviet Union, were attracted to the field. In this volume are reprinted some fundamental contributions, originally published in Russian Mathematical Surveys, from some of the leading Soviet workers. Dr George Wilson has written an introduction intended to smooth the reader's path through some of the articles.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 15 mm
Weight
404 gr
ISBN-13
978-0-521-28527-8 (9780521285278)
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Schweitzer Classification
Other editions
Additional editions
I. S. Novikov
Integrable Systems
E-Book
01/2011
1st Edition
Cambridge University Press
€61.99
Available for download
Content
Introduction George Wilson; 1. Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations I. M. Gelfand and L. A. Dikii; 2. Proof of a variational relation between the coefficients of the asymptotic expansion of the resolvent of a Sturm-Liouville equation B. V. Yusin; 3. Non-linear equations of Korteweg-de Vries type, finite-zone linear operators and abelian varieties B. A. Dubrovin, V. B. Matveer and S. P. Novikov; 4. Methods of algebraic geometry in the theory of non-linear equations I. M. Krichever; 5. Algebraic curves and non-linear difference equations I. M. Krichever; 6. The structure of Hamiltonian mechanics A. M. Vinogradov and B. A. Kupershmidt; 7. What is the Hamiltonian formalism? A. M. Vinogradov and I. S. Krasilshchik.