关键词: Ward孤子, 广义解, 亚纯标架, 有理直纹面, 极点数据

Abstract:

The holomorphic vector bundle on the rational ruled surface corresponding to the finite-action 1-uniton was explicitly described by Ward in terms of a meromorphic framing, which has a singularity structure corresponding to that of the 1-uniton extended solution. In this paper, the author generalizes Ward's method to give explicitly the holomorphic bundle corresponding to all Ward solitons whose extended solutions have only simple poles and some Ward solitons  whose extended solutions have a second-order pole.

Key words: Ward solitons, Extended solutions, Meromorphic framing, Rational ruled surface, Pole data