Maths HEP Lunchtime Seminars: Classical defects & Darboux-Bäcklund transformations
20 May 2016 13:00 in CM221
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 exploit the structural similarity of these equations with the discrete and continuous Bäcklund transformations. The equations are similar, but not exactly the same to the Bäcklund transformations. We consider specific examples of integrable models to demonstrate our construction, i.e. the Toda chain and the sine-Gordon model.