Topological solitons occur in many nonlinear classical field theories. They are stable,
particle-like objects, with finite mass and a smooth structure. Examples are monopoles and …

The purpose of this paper is to describe a relationship between the moduli space of vortices
and the moduli space of instantons. We study charge vortices in Yang-Mills-Higgs theories …

Discussing changes over the last two decades, this book represents an up-to-date treatment
of superfluidity. It covers new superfluid materials such as high-temperature and …

Traditionally, superconductors are categorized as type I or type II. Type-I superconductors
support only Meissner and normal states, while type-II superconductors form magnetic …

Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and
cannot be solved analytically. Integrable systems lie on the other extreme. They possess …

We consider head-on collisions at critical coupling of vortices modeled by the Abelian-Higgs
model. We investigate the two-vortex scattering, whereby the vortices are excited by the …

The equivalence of NS5-branes and ALF spaces under T-duality is well known. However, a
naive application of T-duality transforms the ALF space into a smeared NS5-brane, de …

It is shown that under certain conditions, three-component superconductors (and, in
particular, three-band systems) allow stable topological defects different from vortices. We …

The evolution of 1 vortices when their massive bound mode is excited is investigated in
detail (both analytically and numerically) in the Abelian-Higgs model for different ranges of …

The moduli space approximation to kink dynamics permits a relativistic generalization if the
Derrick scaling parameter is used as a collective coordinate. We develop a perturbative …