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Classical integrable defects as quasi Bäcklund transformations

Anastasia Doikou
(
- Heriot-Watt U. (main)
)

Mar 15, 2016

19 pages

Published in:

Nucl.Phys.B 911 (2016) 212-230

Published: Oct, 2016

e-Print:

1603.04688 [hep-th]

DOI:

10.1016/j.nuclphysb.2016.08.006

View in:

ADS Abstract Service

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Abstract: (Elsevier)

We consider the algebraic setting of classical defects in discrete and continuous integrable theories. We derive the “equations of motion” on the defect point via the space-like and time-like description. We then exploit the structural similarity of these equations with the discrete and continuous Bäcklund transformations. And although these equations are similar they are not exactly the same to the Bäcklund transformations. We also consider specific examples of integrable models to demonstrate our construction, i.e. the Toda chain and the sine-Gordon model. The equations of the time (space) evolution of the defect (discontinuity) degrees of freedom for these models are explicitly derived.

Note:

23 pages, Latex. Clarifying comments & references added; few typos corrected. Version to appear in NPB

defect: integrability
model: integrability
Baecklund transformation
field equations
chain: Toda
sine-Gordon model
algebra: Poisson

References(30)

Figures(0)

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