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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Bibliographic Details
Main Author: Guo, Boling
Other Authors: Pang, Xiao-Feng, Wang, Yu-Feng, Liu, Nan
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2018
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
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020 |a 978-3-11-054924-9 
100 1 |a Guo, Boling 
245 0 0 |a Solitons  |h Elektronische Ressource  |c Boling Guo, Xiao-Feng Pang, Yu-Feng Wang, and Nan Liu 
260 |a Berlin ; Boston  |b De Gruyter  |c 2018 
300 |a VIII, 368 Seiten 
505 0 |a 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 
653 |a Mathematik / Differentialgleichungen und dynamische Systeme 
653 |a Physics / Theoretical and Mathematical Physics 
653 |a Mathematik / Angewandte Mathematik 
653 |a Mathematics / Applied Mathematics 
653 |a Mathematics / Differential Equations and Dynamical Systems 
653 |a Physik / Theoretische und mathematische Physik 
700 1 |a Pang, Xiao-Feng 
700 1 |a Wang, Yu-Feng 
700 1 |a Liu, Nan 
041 0 7 |a eng  |2 ISO 639-2 
989 |b GRUYMPG  |a DeGruyter MPG Collection 
028 5 0 |a 10.1515/9783110549638 
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856 4 0 |u https://www.degruyter.com/doi/book/10.1515/9783110549638  |x Verlag  |3 Volltext 
082 0 |a 510 
520 3 |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.