Hamiltonian structures and Riemann-Hilbert problems of integrable systems

We begin this dissertation by presenting a brief introduction to the theory of solitons and integrability (plus some classical methods applied in this field) in Chapter 1, mainly using the Korteweg-de Vries equation as a typical model. At the end of this Chapter a mathematical framework of notations...

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Bibliographic Details
Main Author: Gu, Xiang
Format: Others
Published: Scholar Commons 2018
Subjects:
Online Access:https://scholarcommons.usf.edu/etd/7677
https://scholarcommons.usf.edu/cgi/viewcontent.cgi?article=8874&context=etd