Defects and Dressed Boundaries in Complex Sine-Gordon Theory

Abstract

In this paper we constructed integrable defects in complex sine-Gordon theory. Soliton and particle interactions with the defect are analysed. Defects are used to dress Dirichlet boundaries to create a wider class of integrable boundary conditions to ones previously studied. Properties of these new boundaries including soliton and particle reflections with the boundaries are presented.

33 pages, 16 figures, minor corrections

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Cited by in corpus (3)

• A transmission matrix for a fused pair of integrable defects in the sine-Gordon model
• Type I integrable defects and finite-gap solutions for KdV and sine-Gordon models
• Infinite dimension reflection matrices in the sine-Gordon model with a boundary