Numerical twistor procedure for solving a nonlinear field equation

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.