On the models of nonlocal nonlinear optics

We show that under certain assumptions a general model of nonlocal nonlinear response in 1+1-dimension is equivalent to the model considered by Krolikowski and Bang for a Kerr-type medium. We derive the limit of weak nonlocality in high frequency regime and discuss the integrable cases.Comment: 6 page

Deformations of plane algebraic curves and integrable systems of hydrodynamic type

We describe our recent work on deformations of hyperelliptic curves by means of integrable hierarchy of hydrodynamic type (nlin.SI/0205012). We also discuss a further extension to the case of non-hyperelliptic curves.Comment: 7 pages, Submitted for the WSPC Proceedings of Gallipoli workshop July 26 - Aug. 6, 200