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Solitons

Author: Boling Guo; Xiao-Feng Pang; Yu-Feng Wang, (Physics professor); Nan Liu, (Physics professor)
Publisher: Berlin ; Boston : Walter de Gruyter GmbH, [2018]
Edition/Format:   eBook : Document : EnglishView all editions and formats
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Solitons.
Berlin ; Boston : Walter de Gruyter GmbH, [2018]
(DLC) 2018006885
(OCoLC)996941238
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Boling Guo; Xiao-Feng Pang; Yu-Feng Wang, (Physics professor); Nan Liu, (Physics professor)
ISBN: 9783110549416 3110549417 9783110549638 3110549638
OCLC Number: 1038716997
Language Note: In English.
Description: 1 online resource (viii, 368 pages)
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.
Responsibility: Boling Guo, Xiao-Feng Pang, Yu-Feng Wang, and Nan Liu.
More information:

Abstract:

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.  Read more...

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"Overall, this book covers differential types of soliton equations along with their dynamical behaviors and applications from physics. Mathematical methods are described together with applications Read more...

 
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