Classical integrable field theories with defects and near-integrable boundaries

In the first part of this thesis algebro-geometric solutions for the sine-Gordon and KdV equations in the presence of a type I integrable defect are found, generalising the previously known soliton solutions. Elliptic (genus one) solutions where the defect induces only a phase shift are obtained via...

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Bibliographic Details
Main Author: Parini, Robert Charles
Other Authors: Corrigan, Ed
Published: University of York 2018
Subjects:
510
Online Access:https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.745791