Solitons[electronic resource]
- 其他作者: Guo, Boling.
- 出版: Berlin : De Gruyter c2018.
- 版本: 1st ed.
- 稽核項: 1 online resource (376 p.).
- 標題: Solitons. , Wave-motion, Theory of.
- ISBN: 3110549417 , 9783110549416
- ISBN: 9783110549249
- 試查全文@TNUA:
- 附註: Includes bibliographical references.
- 摘要: 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
- 電子資源: https://dbs.tnua.edu.tw/login?url=http://www.degruyter.com/isbn/9783110549638
- 系統號: 005325751
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
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. Contents Introduction Inverse scattering transform Asymptotic behavior to initial value problems for some integrable evolution nonlinear equations Interaction of solitons and its asymptotic properties Hirota method Bäcklund transformations and the infinitely many conservation laws Multi-dimensional solitons and their stability Numerical computation methods for some nonlinear evolution equations The geometric theory of solitons Global existence and blow up for the nonlinear evolution equations The soliton movements of elementary particles in nonlinear quantum field The theory of soliton movement of superconductive features The soliton movements in condensed state systemsontents
來源: Google Book
來源: Google Book
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