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The Resource Solitons : differential equations, symmetries, and infinite dimensional algebras, T. Miwa, M. Jimbo and E. Date ; translated by Miles Reid

Solitons : differential equations, symmetries, and infinite dimensional algebras, T. Miwa, M. Jimbo and E. Date ; translated by Miles Reid

Label
Solitons : differential equations, symmetries, and infinite dimensional algebras
Title
Solitons
Title remainder
differential equations, symmetries, and infinite dimensional algebras
Statement of responsibility
T. Miwa, M. Jimbo and E. Date ; translated by Miles Reid
Creator
Contributor
Subject
Language
  • eng
  • jpn
  • eng
Summary
"The goal of this book is to investigate the high degree of symmetry that lies hidden in integrable systems. To that end, differential equations arising from classical mechanics, such as the KdV equation and the KP equations, are used here by the authors to introduce the notion of an infinite dimensional transformation group acting on spaces of integrable systems. The work of M. Sato on the algebraic structure of completely integrable systems is discussed, together with developments of these ideas in the work of M. Kashiwara." "This book should be accessible to anyone with a knowledge of differential and integral calculus and elementary complex analysis, and it will be a valuable resource to the novice and expert alike."--BOOK JACKET
Member of
Cataloging source
UKM
http://library.link/vocab/creatorName
Miwa, T.
Dewey number
515.353
Illustrations
illustrations
Index
index present
LC call number
QC174.26.W28
LC item number
M5813 2000
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Jimbo, M.
  • Date, E.
  • Reid, Miles
Series statement
Cambridge tracts in mathematics
Series volume
135
http://library.link/vocab/subjectName
  • Solitons
  • Korteweg-de Vries equation
  • Evolution equations, Nonlinear
Label
Solitons : differential equations, symmetries, and infinite dimensional algebras, T. Miwa, M. Jimbo and E. Date ; translated by Miles Reid
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. The KdV equation and its symmetries; 2. The KdV hiearchy; 3. The Hirota equation and vertex operators; 4. The calculus of fermions; 5. The boson-fermion correspondence; 6. Transformation groups and tau functions; 7. Transformation group of the KdV equation; 8. Finite dimensional Grassmanians and Plucker relations; 9. Infinite dimensional Grassmanians; 10. The bilinear identity revisited
Control code
42580184
Dimensions
24 cm
Extent
ix, 108 pages
Isbn
9780521561617
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)42580184
Label
Solitons : differential equations, symmetries, and infinite dimensional algebras, T. Miwa, M. Jimbo and E. Date ; translated by Miles Reid
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
  • nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. The KdV equation and its symmetries; 2. The KdV hiearchy; 3. The Hirota equation and vertex operators; 4. The calculus of fermions; 5. The boson-fermion correspondence; 6. Transformation groups and tau functions; 7. Transformation group of the KdV equation; 8. Finite dimensional Grassmanians and Plucker relations; 9. Infinite dimensional Grassmanians; 10. The bilinear identity revisited
Control code
42580184
Dimensions
24 cm
Extent
ix, 108 pages
Isbn
9780521561617
Media category
unmediated
Media MARC source
rdamedia
Media type code
  • n
System control number
(OCoLC)42580184

Library Locations

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