ENGLISH

Solitons

By Boling Guo; Xiao-Feng Pang; Yu-Feng Wang; Nan Liu

Book information

Publisher
de Gruyter
Year
2018
ISBN
9783110549638, 9783110549249
DOI
10.1515/9783110549638
Language
english
Format
EPUB
Filesize
25 MB (25727574 bytes)
Pages
376\0
Library
degruyter.com
Time added
2023-07-26 06:22:36

Description

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 systemsontentsA systematic presentation of the theory behind solitons, covering both classical and recent results. Combines physical background with mathematical rigor. Of interest to applied mathematicians and physicists.

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