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- catalog abstract ""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."--Jacket.".
- catalog alternative "Soliton no suri. English".
- catalog contributor b11544523.
- catalog contributor b11544524.
- catalog contributor b11544525.
- catalog contributor b11544526.
- catalog created "2000.".
- catalog date "2000".
- catalog date "2000.".
- catalog dateCopyrighted "2000.".
- catalog description ""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."--Jacket.".
- catalog description "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.".
- catalog description "Includes bibliographical references and index.".
- catalog extent "ix, 108 p. ;".
- catalog identifier "0521561612".
- catalog isPartOf "Cambridge tracts in mathematics ; 135".
- catalog issued "2000".
- catalog issued "2000.".
- catalog language "Translated from the Japanese.".
- catalog language "eng".
- catalog language "engjap".
- catalog publisher "Cambridge : Cambridge University Press,".
- catalog subject "515.353 21".
- catalog subject "Evolution equations, Nonlinear.".
- catalog subject "Korteweg-de Vries equation.".
- catalog subject "Mathematical physics.".
- catalog subject "QC174.26.W28 M5813 2000".
- catalog subject "Solitons Mathematics.".
- catalog tableOfContents "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.".
- catalog title "Soliton no suri. English".
- catalog title "Solitons : differential equations, symmetries and infinite dimensional algebras / T. Miwa, M. Jimbo and E. Date ; translated by Miles Reid.".
- catalog type "text".