Type-II Bäcklund Transformations via Gauge Transformations

Details Type-II Bäcklund Transformations via Gauge Transformations Type-II Bäcklund Transformations via Gauge Transformations

2011-10-07

arxiv.org/abs/1110.1589v2

Journal of High Energy Physics, Volume 2011, Number 12, 56

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Latex 19 pages, 2 tables. v2: Comments and two references added

Scientific paper

10.1007/JHEP12(2011)056

The construction of type II Backlund transformation for the sine-Gordon and the Tzitzeica-Bullough-Dodd models are obtained from gauge transformation. An infinite number of conserved quantities are constructed from the defect matrices. This guarantees that the introduction of type II defects for these models does not spoil their integrability. In particular, modified energy and momentum are derived and compared with those presented in recent literature.

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