All Outputs (3)

Numerical twistor procedure for solving a non-linear field equation. (1994)
Journal Article
Moorhouse, T., & Ward, R. (1994). Numerical twistor procedure for solving a non-linear field equation. Journal of Mathematical Physics, 35(12), 6489-6497. https://doi.org/10.1063/1.530686

This paper concentrates on an integrable SU(2) chiral equation in two space and one time dimensions, admitting soliton solutions. It is, in effect, a reduction of the self‐dual Yang–Mills equations in 2+2 dimensions, and can therefore be solved by tw... Read More about Numerical twistor procedure for solving a non-linear field equation..

Sigma models in 2+1 dimensions (1994)
Book Chapter
Ward, R. (1994). Sigma models in 2+1 dimensions. In A. P. Fordy, & J. C. Wood (Eds.), Harmonic maps and integrable systems (193-202). F. Vieweg. https://doi.org/10.1007/978-3-663-14092-4_9

Finite-energy harmonic maps from R2 into simple manifolds such as CP1 ≅ S2 or SU(2)≅ S3 are thoroughly understood. The relevant equations constitute an integrable system, the general solution of which can be written down explicitly. Such solutions ma... Read More about Sigma models in 2+1 dimensions.

Kink dynamics in a novel discrete sine-Gordon system. (1994)
Journal Article
Speight, J., & Ward, R. (1994). Kink dynamics in a novel discrete sine-Gordon system. Nonlinearity, 1(2), 475-484. https://doi.org/10.1088/0951-7715/7/2/009

A spatially-discrete sine-Gordon system with some novel features is described. There is a topological or Bogomol'nyi lower bound on the energy of a kink, and an explicit static kink which saturates this bound. There is no Peierls potential barrier, a... Read More about Kink dynamics in a novel discrete sine-Gordon system..