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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..

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..

The vacuum functional at large distances (1995)
Journal Article
Mansfield, P. (1995). The vacuum functional at large distances. Physics Letters B, 358(3-4), 287-296. https://doi.org/10.1016/0370-2693%2895%2901007-d

For fields that vary slowly on the scale of the lightest mass the logarithm of the vacuum functional can be expanded as a sum of local functionals, however, this does not satisfy the obvious form of the Schrödinger equation. For ϕ4 theory we construc... Read More about The vacuum functional at large distances.

Classically integrable boundary conditions for affine Toda field theories (1995)
Journal Article
Bowcock, P., Corrigan, E., Dorey, P., & Rietdijk, R. (1995). Classically integrable boundary conditions for affine Toda field theories. Nuclear Physics B, 445(2-3), 469-500. https://doi.org/10.1016/0550-3213%2895%2900153-j

Boundary conditions compatible with classical integrability are studied both directly, using an approach based on the explicit construction of conserved quantities, and indirectly by first developing a generalisation of the Lax pair idea. The latter... Read More about Classically integrable boundary conditions for affine Toda field theories.