0444888691

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Topics in Soliton Theory, Volume 167 (North-Holland Mathematics Studies)
Author(s): R.W. Carroll
ISBN: 0444888691 ISBN-13: 9780444888693

Format: Hardcover   Pages: 427 Edition: 1   
Pub. Date: 1991-12-10 Publisher: North Holland
List Price: $210.00

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Book Description

Topics in Soliton Theory, Volume 167 (North-Holland Mathematics Studies)

When soliton theory, based on water waves, plasmas, fiber optics etc., was developing in the 1960-1970 era it seemed that perhaps KdV (and a few other equations) were really rather special in the set of all interesting partial differential equations. As it turns out, although integrable systems are still special, the mathematical interaction of integrable systems theory with virtually all branches of mathematics (and with many currently developing areas of theoretical physics) illustrates the importance of this area. This book concentrates on developing the theme of the tau function. KdV and KP equations are treated extensively, with material on NLS and AKNS systems, and in following the tau function theme one is led to conformal field theory, strings, and other topics in physics. The extensive list of references contains about 1000 entries.

 

 
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