Painlevé test for integrability and exact solutions for the field equations for Charap's chiral invariant model of the pion dynamics

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 transformations;    exact solutions;    pion dynamics;    chiral invariance.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

It has been shown that the field equations for Charap's chiral invariant model of the pion dynamics pass the Painlevé test for complete integrability in the sense of Weiss et al. The truncation procedure of the same analysis leads to auto-Backlund transformation between two pairs of solutions. With the help of this transformation non-trivial exact solutions have been rediscovered.

【 授权许可】

Unknown