Solitons, instantons, and twistors

Resource Information

The work Solitons, instantons, and twistors represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

Solitons, instantons, and twistors

Statement of responsibility

Maciej Dunajski

Creator

• Dunajski, Maciej

Subject

• Solitons -- Mathematics
• Twistor theory
• Geometry, Differential
• Wave-motion, Theory of

Language

eng

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 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."--BOOK JACKET

Member of

• Oxford graduate texts in mathematics ; 19
• Oxford mathematics

Cataloging source

DLC

Dewey number

530.12/4

Illustrations

illustrations

Index

index present

LC call number

QC174.26.W28

LC item number

D86 2010

Literary form

non fiction

Nature of contents

bibliography

Series statement

• Oxford mathematics
• Oxford graduate texts in mathematics ; 19