Description: Solitons, Instantons, and TwistorsAuthor(s): Maciej Dunajski Format: Hardback Publisher: Oxford University Press, United Kingdom Imprint: Oxford University Press ISBN-13: 9780198570622, 978-0198570622 Synopsis Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations. The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.
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Book Title: Solitons, Instantons, and Twistors
Number of Pages: 374 Pages
Language: English
Publication Name: Solitons, Instantons, and Twistors
Publisher: Oxford University Press
Publication Year: 2009
Subject: Mathematics, Physics
Item Height: 242 mm
Item Weight: 705 g
Type: Textbook
Author: Maciej Dunajski
Series: Oxford Graduate Texts in Mathematics
Item Width: 163 mm
Format: Hardcover
