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Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras (Cambridge Tracts in Mathematics, Series Number 135) - Hardcover

 
9780521561617: Solitons: Differential Equations, Symmetries and Infinite Dimensional Algebras (Cambridge Tracts in Mathematics, Series Number 135)

Synopsis

This book investigates 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. Chapters discuss the work of M. Sato on the algebraic structure of completely integrable systems, together with developments of these ideas in the work of M. Kashiwara. The text 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 both novice and expert alike.

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Book Description

The notion of solitons arose with the study of partial differential equations at the end of the 19th century. In more recent times their study has involved ideas from other areas of mathematics such as algebraic gometry, topology, and in particular infinite dimensional Lie algebras, and it this approach that is the main theme of this book.This book will be of great interest to all whose research interests involves the mathematics of solitons.

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'... this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.' EMS

' this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.' EMS

??? ??? this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.??? EMS

' this charming book can be recommended to anybody interested in the modern development in the mathematics arising from mathematical physics.' EMS

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Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 35 MIW 9780521561617 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2504485

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Hardcover. Condition: new. Hardcover. This book investigates 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. This book investigates 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. Chapters discuss the work of M. Sato on the algebraic structure of completely integrable systems, together with developments of these ideas in the work of M. Kashiwara. The text 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 both novice and expert alike. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521561617

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