6 citations · 6 across the 1 of their papers we have counts for
5 papers
Canonical surfaces associated with projectors in grassmannian sigma models
V. Hussin, I. Yurducsen, W. J. Zakrzewski
We discuss the construction of higher-dimensional surfaces based on the harmonic maps of into and other grassmannians. We show that there are two ways of implement…
Weierstrass P-lumps
RJ Cova, WJ Zakrzewski
We present our results of a numerical investigation of the behaviour of a system of two solitons in the (2+1) dimensional model on a torus. Defined by the elliptic function…
Soliton scattering in the O(3) model on a torus
R. J. Cova, W. J. Zakrzewski
Using numerical simulations, the stability and scattering properties of the O(3) model on a two-dimensional torus are studied. Its solitons are found to be unstable but can be stab…
Solutions of (2+1)-dimensional spin systems
Z. Thomova, P. Winternitz, W. J. Zakrzewski
We use the methods of group theory to reduce the equations of motion of two spin systems in (2+1) dimensions to sets of coupled ordinary differential equations. We present solution…
A modified discrete sine-Gordon Model
W. J. Zakrzewski
We modify the recently proposed model of Speight and Ward to make it possess time dependent solutions. We find that for each lattice spacing and for each velocity of the sine Gordo…