Solitons, instantons, and twistors /
"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 ro...
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Oxford :
Oxford University Press,
2024.
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| Edition: | Second edition. |
| Series: | Oxford graduate texts in mathematics ;
31. |
| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
| 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"--Publisher's description. |
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| Item Description: | Previous edition: 2010. |
| Physical Description: | 1 online resource : illustrations. |
| Audience: | Specialized. |
| Bibliography: | Includes bibliographical references (pages 381-390) and index. |
| ISBN: | 9780191983634 0191983632 |