Integrable Systems

I. S. Novikov

doi:10.1017/CBO9780511600784

Integrable Systems

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.

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Integrable Systems

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Introduction
pp 1-12

Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations (Volume 30, 1975)
pp 13-49

Proof of a variational relation between the coefficients of the asymptotic expansion of the resolvent of a Sturm-Liouville equation (Volume 33, 1978)
pp 50-52

Non-linear equations of Korteweg-de Vries type, finite-zone linear operators and abelian varieties (Volume 31, 1976)
pp 53-140

Methods of algebraic geometry in the theory of non-linear equations (Volume 32, 1977)
pp 141-169

Algebraic curves and non-linear difference equations (Volume 33, 1978)
pp 170-172

The structures of Hamiltonian mechanics (Volume 32, 1977)
pp 173-240

What is the Hamiltonian formalism? (Volume 30, 1975)
pp 241-270

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Integrable Systems

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