All Outputs (4)

Stable topological Skyrmions on the 2D lattice. (1995)
Journal Article
Ward, R. (1995). Stable topological Skyrmions on the 2D lattice. Letters in Mathematical Physics, 35(4), 385-393. https://doi.org/10.1007/bf00750845

In the continuum O(3) sigma model in two spatial dimensions, there are topological solitons whose size can be stabilized by adding Skyrme and potential terms. This Letter describes a lattice version, namely a natural way of modifying the 2D Heisenber... Read More about Stable topological Skyrmions on the 2D lattice..

Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system. (1995)
Journal Article
Ward, R. (1995). Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system. Physics Letters A, 208(3), 203-208. https://doi.org/10.1016/0375-9601%2895%2900782-x

One usually expects localized solitons in an integrable system to interact trivially. There is an integrable (2+1)-dimensional chiral equation which admits multi-soliton solutions with trivial dynamics. This paper describes how to generate explicit s... Read More about Nontrivial scattering of localized solitons in a (2+1)-dimensional integrable system..

Conserved quantities for integrable chiral equations in 2+1 dimensions. (1995)
Journal Article
Ioannidou, T., & Ward, R. (1995). Conserved quantities for integrable chiral equations in 2+1 dimensions. Physics Letters A, 208(3), 209-213. https://doi.org/10.1016/0375-9601%2895%2900781-w

The integrable (2+1)-dimensional chiral equations are related to the self-dual Yang-Mills equation. Previously known nonlocal conservation laws do not yield finite conserved charges, because the relevant spatial integrals diverge. We exhibit infinite... Read More about Conserved quantities for integrable chiral equations in 2+1 dimensions..

Discrete Toda field equations. (1995)
Journal Article
Ward, R. (1995). Discrete Toda field equations. Physics Letters A, 199(1-2), 45-48. https://doi.org/10.1016/0375-9601%2895%2900108-f

There are two-dimensional Toda field equations corresponding to each (finite or affine) Lie algebra. The question addressed in this note is whether there exist integrable discrete versions of these. It is shown that for certain algebras (such as An,... Read More about Discrete Toda field equations..