Numerical twistor procedure for solving a non-linear field equation.

Moorhouse, T.; Ward, R.S.

Abstract

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 twistor methods. However, only some solutions can be constructed explicitly, and to solve a general initial‐value problem requires some kind of numerical computation. The paper describes a way of implementing the twistor solution procedure numerically in order to do this.

Citation

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

• Journal Article Type: Article
• Acceptance Date: Jun 29, 1994
• Publication Date: 1994-12
• Journal: Journal of Mathematical Physics
• Print ISSN: 0022-2488
• Electronic ISSN: 1089-7658
• Publisher: American Institute of Physics
• Peer Reviewed: Peer Reviewed
• Volume: 35
• Issue: 12
• Pages: 6489-6497
• DOI: https://doi.org/10.1063/1.530686
• Public URL: https://durham-repository.worktribe.com/output/1598245