Symmetries and Singularity Structures

Language: English

Published by Springer Jan 1991, 1991

3540530924 / 9783540530923

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -Symmetries and singularity structures play important roles in the study of nonlinear dynamical systems. It was Sophus Lie who originally stressed the importance of symmetries and invariance in the study of nonlinear differential equations. How ever, the full potentialities of symmetries had been realized only after the advent of solitons in 1965. It is now a well-accepted fact that associated with the infinite number of integrals of motion of a given soliton system, an infinite number of gep. eralized Lie BAcklund symmetries exist. The associated bi-Hamiltonian struc ture, Kac-Moody, Vrrasoro algebras, and so on, have been increasingly attracting the attention of scientists working in this area. Similarly, in recent times the role of symmetries in analyzing both the classical and quantum integrable and nonintegrable finite dimensional systems has been remarkable. On the other hand, the works of Fuchs, Kovalevskaya, Painleve and coworkers on the singularity structures associated with the solutions of nonlinear differen tial equations have helped to classify first and second order nonlinear ordinary differential equations. The recent work of Ablowitz, Ramani and Segur, con jecturing a connection between soliton systems and Painleve equations that are free from movable critical points, has motivated considerably the search for the connection between integrable dynamical systems with finite degrees of freedom and the Painleve property. Weiss, Tabor and Carnevale have extended these ideas to partial differential equations. 224 pp. Englisch. …

Seller Inventory # 9783540530923

Title
Symmetries and Singularity Structures
Author
Muthuswamy Lakshmanan
Publisher
Springer Jan 1991
Publication year
1991
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3540530924
ISBN 13
9783540530923
Item weight
392 grams
Dimensions
242x170x13 mm

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

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AbeBooks seller since January 11, 2012

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BuchWeltWeit Ludwig Meier e.K.

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