Painleve Equations in the Differential Geometry of Surfaces

Language: English

Published by Springer Vieweg, 2000

3540414142 / 9783540414148

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Druck auf Anfrage Neuware - Printed after ordering - Since the time of surfaces -+ in differential Gauss, parametrized (x, y) P(x, y) have been described a frame attached to the moving geometry through TI(x, y) surface. One introduces the Gauss- which linear dif- Weingarten equations are , ferential equations = U = TIX T1, VT', !PY (1. for the and their condition frame, compatibility - = V + [U, V] 0, UY (1.2) which the Gauss-Codazzi For surfaces in three-dim- represents equations . a sional Euclidean the frame T1 lies in the usually or space, group SO(3) SU(2). On the other a of a non-linear in the form hand, representation equation (1.2) is the of the of of starting point theory integrable equations (theory solitons), which in mathematical in the 1960's appeared physics [NMPZ, AbS, CD, FT, More the differential for the coefficients of AbC]. exactly, partial equation (1.2) the matrices U and V is considered to be if these matrices can be integrable , extended to U V non-trivially a one-parameter family (x, y, A), (x, y, A) satisfying - = + U(A)y V(A). [U(A), V(A)] 0, (1-3) so that the differential is and original partial equation preserved.' . Usually U(A) V are rational functions of the which is called the (A) parameter A, spectral param- In soliton the eter is called the Lax . theory, representation (1.3) representation the Zakharov-Shabat or representation [ZS].…

Seller Inventory # 9783540414148

Title
Painleve Equations in the Differential Geometry of Surfaces
Author
Alexander I. Bobenko Tu Berlin
Publisher
Springer Vieweg
Publication year
2000
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540414142
ISBN 13
9783540414148
Item weight
201 grams
Dimensions
235x155x8 mm

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