Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Integrability, Self-Duality, and Twistor Theory

Integrability, Self-Duality, and Twistor Theory

Mason, L.

Hardcover

Series: London Mathematical Society Monographs, Book 15

LinguisticsGeneral MathematicsPhysics

ISBN10: 0198534981
ISBN13: 9780198534983
Publisher: Clarendon Press
Published: Jan 30 1997
Pages: 376
Weight: 1.55
Height: 0.88 Width: 6.14 Depth: 9.21
Language: English
Many of the familiar integrable systems of equations are symmetry reductions of self-duality equations on a metric or on a Yang-Mills connection. For example, the Korteweg-de Vries and non-linear Schrodinger equations are reductions of the self-dual Yang-Mills equation. This book explores in detail the connections between self-duality and integrability, and also the application of twistor techniques to integrable systems. It supports two central theories: that the symmetries of self-duality equations provide a natural classification scheme for integrable systems; and that twistor theory provides a uniform geometric framework for the study of Backlund transformations, the inverse scattering method, and other such general constructions of integrability theory. The book will be useful to researchers and graduate students in mathematical physics.

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