NUMERICAL TWISTER PROCEDURE FOR SOLVING A NONLINEAR FIELD EQUATION

Citation
T. Moorhouse et Rs. Ward, NUMERICAL TWISTER PROCEDURE FOR SOLVING A NONLINEAR FIELD EQUATION, Journal of mathematical physics, 35(12), 1994, pp. 6489-6497
Citations number
9
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00222488
Volume
35
Issue
12
Year of publication
1994
Pages
6489 - 6497
Database
ISI
SICI code
0022-2488(1994)35:12<6489:NTPFSA>2.0.ZU;2-K
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 dimen sions, and can therefore be solved by twister methods. However, only s ome solutions can be constructed explicitly, and to solve a general in itial-value problem requires some kind of numerical computation. The p aper describes a way of implementing the twister solution procedure nu merically in order to do this. (C) 1994 American Institute of Physics.