Solitons / Boling Guo, Xiao-Feng Pang, Yu-Feng Wang, and Nan Liu.
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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| Online Access: |
Full Text (via ProQuest) |
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| Main Authors: | , , , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Boston :
Walter de Gruyter GmbH,
[2018]
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| Subjects: |
| Summary: | 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. |
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| Physical Description: | 1 online resource (viii, 368 pages) |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9783110549416 3110549417 9783110549638 3110549638 |
| Language: | In English. |
| Source of Description, Etc. Note: | Source of description: Print version record. |