论文标题
非交换性反式YANG-MILLS方程的孤子解决方案
Soliton Solutions of Noncommutative Anti-Self-Dual Yang-Mills Equations
论文作者
论文摘要
我们通过使用darboux变换，在四维的非交通性欧几里得空间上呈现了g = gl（n）的抗二元扬米尔斯方程的精确孤子溶液。生成的溶液由紧凑形式的wronski矩阵的准扣代表。我们为G = GL（2）提供了特殊的一soliton溶液，其能量密度可以实现。我们发现，孤子溶液与交换性溶液相同，可以解释为四维溶液。还讨论了多索溶液的散射过程。
We present exact soliton solutions of anti-self-dual Yang-Mills equations for G=GL(N) on noncommutative Euclidean spaces in four-dimension by using the Darboux transformations. Generated solutions are represented by quasideterminants of Wronski matrices in compact forms. We give special one-soliton solutions for G=GL(2) whose energy density can be real-valued. We find that the soliton solutions are the same as the commutative ones and can be interpreted as one-domain walls in four-dimension. Scattering processes of the multi-soliton solutions are also discussed.
