On a revisit to the Painlevé test for integrability and exact solutions for Yang's self-dual equations for �� (2) gauge fields

Pramana

Pranab Krishna Chanda2²  Susanto Chakraborty1¹ 

[1] Central Drugs Laboratory, 3 Kyd Street, Kolkata 700 016, India$$;Siliguri B.Ed. College, P.O. Kadamtala (Shibmandir), Siliguri 734 011, India$$

关键词: Painlevé analysis;    integrability;    auto-Backlund transformation;    exact solutions;    ð?‘†ð?‘ˆ (2) gauge field;    self-duality;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

Painlevé test (Jimbo et al [1]) for integrability for the Yang's self-dual equations for 𝑆𝑈 (2) gauge fields has been revisited. Jimbo et al analysed the complex form of the equations with a rather restricted form of singularity manifold. They did not discuss exact solutions in that context. Here the analysis has been done starting from the real form of the same equations and keeping the singularity manifold completely general in nature. It has been found that the equations, in real form, pass the Painlevé test for integrability. The truncation procedure of the same analysis leads to non-trivial exact solutions obtained previously and auto-Backlund transformation between two pairs of those solutions.

【 授权许可】

Unknown