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 roles in...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Oxford ; New York :
Oxford University Press,
2010.
|
| Series: | Oxford mathematics.
Oxford graduate texts in mathematics ; 19. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| 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-timedimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yan. |
| Physical Description: | 1 online resource (xi, 359 pages) : illustrations |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9780191574108 0191574104 |
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| 520 | |a 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-timedimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yan. | ||
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| 650 | 0 | |a Twistor theory. |0 http://id.loc.gov/authorities/subjects/sh85139052 | |
| 650 | 6 | |a Solitons |x Mathématiques. | |
| 650 | 6 | |a Instantons |x Mathématiques. | |
| 650 | 6 | |a Théorie du mouvement ondulatoire. | |
| 650 | 6 | |a Géométrie différentielle. | |
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| contents | Integrability in classical mathematics -- Soliton equations and the inverse scattering transform -- Hamiltonian formalism and zero-curvature representation -- Lie symmetries and reductions -- Lagrangian formalism and field theory -- Gauge field theory -- Integrability of ASDYM and twistor theory -- Symmetry reductions and the integrable chiral model -- Gravitational instantons -- Anti-self-dual conformal structures -- Appendix A: Manifolds and topology -- Appendix B: Complex analysis -- Appendix C: Overdetermined PDEs. |
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| illustrated | Illustrated |
| indexdate | 2025-04-11T08:36:31Z |
| institution | BVB |
| isbn | 9780191574108 0191574104 |
| language | English |
| oclc_num | 507435856 |
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| series2 | Oxford mathematics Oxford graduate texts in mathematics ; |
| spelling | Dunajski, Maciej. http://id.loc.gov/authorities/names/n2009052671 Solitons, instantons, and twistors / Maciej Dunajski. Oxford ; New York : Oxford University Press, 2010. 1 online resource (xi, 359 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Oxford mathematics Oxford graduate texts in mathematics ; 19 Includes bibliographical references and index. Integrability in classical mathematics -- Soliton equations and the inverse scattering transform -- Hamiltonian formalism and zero-curvature representation -- Lie symmetries and reductions -- Lagrangian formalism and field theory -- Gauge field theory -- Integrability of ASDYM and twistor theory -- Symmetry reductions and the integrable chiral model -- Gravitational instantons -- Anti-self-dual conformal structures -- Appendix A: Manifolds and topology -- Appendix B: Complex analysis -- Appendix C: Overdetermined PDEs. 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-timedimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yan. Print version record. Solitons Mathematics. Instantons Mathematics. Wave-motion, Theory of. http://id.loc.gov/authorities/subjects/sh85145785 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Twistor theory. http://id.loc.gov/authorities/subjects/sh85139052 Solitons Mathématiques. Instantons Mathématiques. Théorie du mouvement ondulatoire. Géométrie différentielle. Théorie des torseurs. SCIENCE Waves & Wave Mechanics. bisacsh Geometry, Differential fast Solitons Mathematics fast Twistor theory fast Wave-motion, Theory of fast has work: Solitons, instantons, and twistors (Text) https://id.oclc.org/worldcat/entity/E39PCGw8XqTTwjT9JT9D4rPHbq https://id.oclc.org/worldcat/ontology/hasWork Print version: Dunajski, Maciej. Solitons, instantons, and twistors. Oxford ; New York : Oxford University Press, 2010 9780198570622 (DLC) 2009032333 (OCoLC)320199531 Oxford mathematics. http://id.loc.gov/authorities/names/no2006130077 Oxford graduate texts in mathematics ; 19. http://id.loc.gov/authorities/names/n96121759 |
| spellingShingle | Dunajski, Maciej Solitons, instantons, and twistors / Oxford mathematics. Oxford graduate texts in mathematics ; Integrability in classical mathematics -- Soliton equations and the inverse scattering transform -- Hamiltonian formalism and zero-curvature representation -- Lie symmetries and reductions -- Lagrangian formalism and field theory -- Gauge field theory -- Integrability of ASDYM and twistor theory -- Symmetry reductions and the integrable chiral model -- Gravitational instantons -- Anti-self-dual conformal structures -- Appendix A: Manifolds and topology -- Appendix B: Complex analysis -- Appendix C: Overdetermined PDEs. Solitons Mathematics. Instantons Mathematics. Wave-motion, Theory of. http://id.loc.gov/authorities/subjects/sh85145785 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Twistor theory. http://id.loc.gov/authorities/subjects/sh85139052 Solitons Mathématiques. Instantons Mathématiques. Théorie du mouvement ondulatoire. Géométrie différentielle. Théorie des torseurs. SCIENCE Waves & Wave Mechanics. bisacsh Geometry, Differential fast Solitons Mathematics fast Twistor theory fast Wave-motion, Theory of fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85145785 http://id.loc.gov/authorities/subjects/sh85054146 http://id.loc.gov/authorities/subjects/sh85139052 |
| title | Solitons, instantons, and twistors / |
| title_auth | Solitons, instantons, and twistors / |
| title_exact_search | Solitons, instantons, and twistors / |
| title_full | Solitons, instantons, and twistors / Maciej Dunajski. |
| title_fullStr | Solitons, instantons, and twistors / Maciej Dunajski. |
| title_full_unstemmed | Solitons, instantons, and twistors / Maciej Dunajski. |
| title_short | Solitons, instantons, and twistors / |
| title_sort | solitons instantons and twistors |
| topic | Solitons Mathematics. Instantons Mathematics. Wave-motion, Theory of. http://id.loc.gov/authorities/subjects/sh85145785 Geometry, Differential. http://id.loc.gov/authorities/subjects/sh85054146 Twistor theory. http://id.loc.gov/authorities/subjects/sh85139052 Solitons Mathématiques. Instantons Mathématiques. Théorie du mouvement ondulatoire. Géométrie différentielle. Théorie des torseurs. SCIENCE Waves & Wave Mechanics. bisacsh Geometry, Differential fast Solitons Mathematics fast Twistor theory fast Wave-motion, Theory of fast |
| topic_facet | Solitons Mathematics. Instantons Mathematics. Wave-motion, Theory of. Geometry, Differential. Twistor theory. Solitons Mathématiques. Instantons Mathématiques. Théorie du mouvement ondulatoire. Géométrie différentielle. Théorie des torseurs. SCIENCE Waves & Wave Mechanics. Geometry, Differential Solitons Mathematics Twistor theory Wave-motion, Theory of |
| work_keys_str_mv | AT dunajskimaciej solitonsinstantonsandtwistors |