Soliton Solutions of Noncommutative Anti-Self-Dual Yang-Mills Equations
Soliton Solutions of Noncommutative Anti-Self-Dual Yang-Mills Equations
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非交换反自对偶Yang-Mills方程的孤子解
DOI：
10.1088/1751-8121/aba72e
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
S.-C. Huang and J. J. C. Nimmo
中科院分区：
文献类型：
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作者：
C. R. Gilson;M. Hamanaka;S.-C. Huang and J. J. C. Nimmo
利用Darboux变换，给出了四维非交换欧几里德空间上G= GL (N)的反自对偶Yang-Mills方程的精确孤子解。生成的解由朗斯基矩阵的准行列式表示为紧形式。给出了能量密度可为实值的G= GL(2)的特殊单孤子解。我们发现孤子解与对易解相同，可以解释为四维的单域壁。讨论了多孤子解的散射过程。
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.