20 citations · 30 across the 5 of their papers we have counts for
5 papers
Vortices in the Landau--Ginzburg Model of the Quantized Hall Effect
M. Hassaïne, P. A. Horváthy, J. -C. Yera
The `Landau--Ginzburg' theory of Girvin and MacDonald, modified by adding the natural magnetic term, is shown to admit stable topological as well as non-topological vortex solution…
The non-linear Schrödinger equation and the conformal properties of non-relativistic space-time
P. A. Horvathy, J. -C. Yera
The cubic non-linear Schrödinger equation where the coefficient of the nonlinear term is a function only passes the Painlevé test of Weiss, Tabor, and Carnevale only for $…
An integrable time-dependent non-linear Schrödinger equation
P. A. Horváthy, J. -C. Yéra
The cubic non-linear Schrödinger equation (NLS), where the coefficient of the non-linear term can be a function , is shown to pass the Painlevé test of Weiss, Tabor, and Ca…
Vortex solutions of the Liouville equation
P. A. Horváthy, J. -C. Yéra
The most general vortex solution of the Liouville equation (which arises in non-relativistic Chern-Simons theory) is associated with rational functions, where $P(z…
Non-relativistic Maxwell-Chern-Simons Vortices
M. Hassaïne, P. A. Horváthy, J. -C. Yera
The non-relativistic Maxwell-Chern-Simons model recently introduced by Manton is shown to admit self-dual vortex solutions with non-zero electric field. The interrelated ``geometri…