Solitons, instantons, and twistors / Maciej Dunajski.

Format:

Book

Author/Creator:

Dunajski, Maciej, author.

Series:

Oxford graduate texts in mathematics ; 31.

Oxford scholarship online.

Oxford graduate texts in mathematics ; 31

Oxford scholarship online

Language:

English

Subjects (All):

Solitons.

Instantons.

Twistor theory.

Wave-motion, Theory of.

Physical Description:

1 online resource : illustrations.

Edition:

Second edition.

Place of Publication:

Oxford : Oxford University Press, 2024.

Summary:

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 inverse scattering transform, 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. This book provides a self-contained and accessible introduction to the subject.

Notes:

Previous edition: 2010.

Includes bibliographical references and index.

Description based on online resource and publisher information; title from PDF title page (viewed on March 1, 2024).

ISBN:

0-19-198363-2

OCLC:

1424658154