Solitons /:
This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from...
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| Hauptverfasser: | , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
Walter de Gruyter GmbH,
[2018]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. ContentsIntroductionInverse scattering transformAsymptotic behavior to initial value problems for some integrable evolution nonlinear equationsInteraction of solitons and its asymptotic propertiesHirota methodBäcklund transformations and the infinitely many conservation lawsMulti-dimensional solitons and their stabilityNumerical computation methods for some nonlinear evolution equationsThe geometric theory of solitonsGlobal existence and blow up for the nonlinear evolution equationsThe soliton movements of elementary particles in nonlinear quantum fieldThe theory of soliton movement of superconductive featuresThe soliton movements in condensed state systemsontents. |
| Beschreibung: | 1 online resource (viii, 368 pages) |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9783110549416 3110549417 9783110549638 3110549638 |
Internformat
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| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t 1. Introduction -- |t 2. Inverse scattering transform -- |t 3. Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations -- |t 4. Interaction of solitons and its asymptotic properties -- |t 5. Hirota method -- |t 6. Bäcklund transformations and the infinitely many conservation laws -- |t 7. Multi-dimensional solitons and their stability -- |t 8. Numerical computation methods for some nonlinear evolution equations -- |t 9. The geometric theory of solitons -- |t 10. Global existence and blow up for the nonlinear evolution equations -- |t 11. The soliton movements of elementary particles in nonlinear quantum field -- |t 12. The theory of soliton movement of superconductive features -- |t 13. The soliton movements in condensed state systems -- |t Bibliography. |
| 520 | |a This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. ContentsIntroductionInverse scattering transformAsymptotic behavior to initial value problems for some integrable evolution nonlinear equationsInteraction of solitons and its asymptotic propertiesHirota methodBäcklund transformations and the infinitely many conservation lawsMulti-dimensional solitons and their stabilityNumerical computation methods for some nonlinear evolution equationsThe geometric theory of solitonsGlobal existence and blow up for the nonlinear evolution equationsThe soliton movements of elementary particles in nonlinear quantum fieldThe theory of soliton movement of superconductive featuresThe soliton movements in condensed state systemsontents. | ||
| 546 | |a In English. | ||
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| author | Guo, Boling Pang, Xiao-Feng, 1945- Wang, Yu-Feng (Physics professor) Liu, Nan (Physics professor) |
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| contents | Frontmatter -- Contents -- 1. Introduction -- 2. Inverse scattering transform -- 3. Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations -- 4. Interaction of solitons and its asymptotic properties -- 5. Hirota method -- 6. Bäcklund transformations and the infinitely many conservation laws -- 7. Multi-dimensional solitons and their stability -- 8. Numerical computation methods for some nonlinear evolution equations -- 9. The geometric theory of solitons -- 10. Global existence and blow up for the nonlinear evolution equations -- 11. The soliton movements of elementary particles in nonlinear quantum field -- 12. The theory of soliton movement of superconductive features -- 13. The soliton movements in condensed state systems -- Bibliography. |
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| indexdate | 2024-11-27T13:28:59Z |
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| publisher | Walter de Gruyter GmbH, |
| record_format | marc |
| spelling | Solitons / Boling Guo, Xiao-Feng Pang, Yu-Feng Wang, and Nan Liu. Berlin ; Boston : Walter de Gruyter GmbH, [2018] 1 online resource (viii, 368 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file Includes bibliographical references. Print version record. Frontmatter -- Contents -- 1. Introduction -- 2. Inverse scattering transform -- 3. Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations -- 4. Interaction of solitons and its asymptotic properties -- 5. Hirota method -- 6. Bäcklund transformations and the infinitely many conservation laws -- 7. Multi-dimensional solitons and their stability -- 8. Numerical computation methods for some nonlinear evolution equations -- 9. The geometric theory of solitons -- 10. Global existence and blow up for the nonlinear evolution equations -- 11. The soliton movements of elementary particles in nonlinear quantum field -- 12. The theory of soliton movement of superconductive features -- 13. The soliton movements in condensed state systems -- Bibliography. This book provides an up-to-date overview of mathematical theories and research results on solitons, presenting related mathematical methods and applications as well as numerical experiments. Different types of soliton equations are covered along with their dynamical behaviors and applications from physics, making the book an essential reference for researchers and graduate students in applied mathematics and physics. ContentsIntroductionInverse scattering transformAsymptotic behavior to initial value problems for some integrable evolution nonlinear equationsInteraction of solitons and its asymptotic propertiesHirota methodBäcklund transformations and the infinitely many conservation lawsMulti-dimensional solitons and their stabilityNumerical computation methods for some nonlinear evolution equationsThe geometric theory of solitonsGlobal existence and blow up for the nonlinear evolution equationsThe soliton movements of elementary particles in nonlinear quantum fieldThe theory of soliton movement of superconductive featuresThe soliton movements in condensed state systemsontents. In English. Solitons. http://id.loc.gov/authorities/subjects/sh85124672 Wave-motion, Theory of. http://id.loc.gov/authorities/subjects/sh85145785 Solitons. Théorie du mouvement ondulatoire. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Solitons fast Wave-motion, Theory of fast Soliton gnd http://d-nb.info/gnd/4135213-0 Electronic book. Guo, Boling, author. Pang, Xiao-Feng, 1945- author. https://id.oclc.org/worldcat/entity/E39PCjxWMqwV8kb6JJDKmGk8P3 http://id.loc.gov/authorities/names/n2004151905 Wang, Yu-Feng (Physics professor), author. https://id.oclc.org/worldcat/entity/E39PCjGgghdKHrWCTKXkm7mTpP http://id.loc.gov/authorities/names/n2018008518 Liu, Nan (Physics professor), author. https://id.oclc.org/worldcat/entity/E39PCjKPbKQjVjpfJvDgvqb9Kq http://id.loc.gov/authorities/names/n2018008524 Print version: Solitons. Berlin ; Boston : Walter de Gruyter GmbH, [2018] 9783110549249 (DLC) 2018006885 (OCoLC)996941238 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1746464 Volltext |
| spellingShingle | Guo, Boling Pang, Xiao-Feng, 1945- Wang, Yu-Feng (Physics professor) Liu, Nan (Physics professor) Solitons / Frontmatter -- Contents -- 1. Introduction -- 2. Inverse scattering transform -- 3. Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations -- 4. Interaction of solitons and its asymptotic properties -- 5. Hirota method -- 6. Bäcklund transformations and the infinitely many conservation laws -- 7. Multi-dimensional solitons and their stability -- 8. Numerical computation methods for some nonlinear evolution equations -- 9. The geometric theory of solitons -- 10. Global existence and blow up for the nonlinear evolution equations -- 11. The soliton movements of elementary particles in nonlinear quantum field -- 12. The theory of soliton movement of superconductive features -- 13. The soliton movements in condensed state systems -- Bibliography. Solitons. http://id.loc.gov/authorities/subjects/sh85124672 Wave-motion, Theory of. http://id.loc.gov/authorities/subjects/sh85145785 Solitons. Théorie du mouvement ondulatoire. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Solitons fast Wave-motion, Theory of fast Soliton gnd http://d-nb.info/gnd/4135213-0 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85124672 http://id.loc.gov/authorities/subjects/sh85145785 http://d-nb.info/gnd/4135213-0 |
| title | Solitons / |
| title_alt | Frontmatter -- Contents -- 1. Introduction -- 2. Inverse scattering transform -- 3. Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations -- 4. Interaction of solitons and its asymptotic properties -- 5. Hirota method -- 6. Bäcklund transformations and the infinitely many conservation laws -- 7. Multi-dimensional solitons and their stability -- 8. Numerical computation methods for some nonlinear evolution equations -- 9. The geometric theory of solitons -- 10. Global existence and blow up for the nonlinear evolution equations -- 11. The soliton movements of elementary particles in nonlinear quantum field -- 12. The theory of soliton movement of superconductive features -- 13. The soliton movements in condensed state systems -- Bibliography. |
| title_auth | Solitons / |
| title_exact_search | Solitons / |
| title_full | Solitons / Boling Guo, Xiao-Feng Pang, Yu-Feng Wang, and Nan Liu. |
| title_fullStr | Solitons / Boling Guo, Xiao-Feng Pang, Yu-Feng Wang, and Nan Liu. |
| title_full_unstemmed | Solitons / Boling Guo, Xiao-Feng Pang, Yu-Feng Wang, and Nan Liu. |
| title_short | Solitons / |
| title_sort | solitons |
| topic | Solitons. http://id.loc.gov/authorities/subjects/sh85124672 Wave-motion, Theory of. http://id.loc.gov/authorities/subjects/sh85145785 Solitons. Théorie du mouvement ondulatoire. SCIENCE Energy. bisacsh SCIENCE Mechanics General. bisacsh SCIENCE Physics General. bisacsh Solitons fast Wave-motion, Theory of fast Soliton gnd http://d-nb.info/gnd/4135213-0 |
| topic_facet | Solitons. Wave-motion, Theory of. Théorie du mouvement ondulatoire. SCIENCE Energy. SCIENCE Mechanics General. SCIENCE Physics General. Solitons Wave-motion, Theory of Soliton Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1746464 |
| work_keys_str_mv | AT guoboling solitons AT pangxiaofeng solitons AT wangyufeng solitons AT liunan solitons |