Perturbations of solitons in thin ferromagnetic films

Solitons arise as exact solutions to nonlinear, dispersive partial differential equations and are interesting both for their stability properties as well as field theoretic analogs to particles. This talk will focus on a particular family of solitons that arise as solutions to a model of the magnetization in a thin ferromagnetic films. These structures are of particular current interest because a closely related structure has recently been observed in
experiments opening up a range of possible applications. In particular, there is the possibility the structures could serve as a mechanism whereby electron spin, as opposed to electron charge, could be to could serve as a mechanism for information storage and transfer. While models supporting soliton solutions are not particularly realistic, perturbation theory offers an avenue where by insight can be gained into increasingly accurate models. I will talk about the nature of soliton-soliton interactions in this context, possible applications to further experiments and how this analysis can be extended to broad class of
soliton-supporting models.