Integrable systems : selected papers

S.P. Novikov ... [et al.]

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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[目次]

  • 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.

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この本の情報

書名 Integrable systems : selected papers
著作者等 Novikov, Sergeĭ Petrovich
Novikov I.S.
シリーズ名 London Mathematical Society lecture note series
出版元 Cambridge University Press
刊行年月 1981
ページ数 266 p.
大きさ 23 cm
ISBN 0521285275
NCID BA03420844
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言語 英語
出版国 イギリス

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