A lie superalgebra and corresponding hierarchy of evolution equations

Modern Physics Letters B

Volumn 23, Issue 28, 2009, Pages 3387-3396

  Wang, Xin Zeng ^a   Dong, Huan He ^a  

^a SHANDONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Lie superalgebra; Super Hamiltonian structure; Superintegrable system; Supertrace identity

Indexed keywords

EID: 70450181926     PISSN: 02179849     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217984909021429     Document Type: Article

References (18)

1. G. Z. Tu, J. Math. Phys. 30(2) (1989) 330-338.
2. G. Z. Tu and D. Z. Meng, Acta Math. Appl. 5 (1989) 89-96.
3. W. X. Ma, Chin. J. Contemp. Math. 13(1) (1992) 79-89.
4. Y. F. Zhang, Chin. Phys. 13(2) (2004) 132-138.
5. E. G. Fan, J. Phys. A 301 (2001) 105-113.
6. W. X. Ma and X. X. Xu, Theor. Phys. 43 (2004) 219-236.
7. F. K. Guo and Y. F. Zhang, J. Phys. A: Math. Gen. 38 (2005) 8537-8548.
8. W. X. Ma and M. Chen, J. Phys. A 39 (2006) 10787-10801.
9. W. X. Ma, J. Phys. A 40 (2007) 15055-15069.
10. W. X. Ma, J. Math. Phys. 49 (2008) 033511.
11. H. Z. Sun and Q. Z. Han, Lie Algebra and Lie Superalgebra and Their Applications in Physics (Peking University Press, Beijing, 1999).
12. Y. S. Li and L. N. Zhang, J. Math. Phys. 31 (1990) 470-475.
13. Y. F. Zhang, Chaos, Solitons & Fractals 16 (2003) 263-269.
14. W. X. Ma, Methods and Applications of Analysis 7 (1) (2000) 21-56.
15. W. X. Ma et al., Phys. Lett. A 351 (2006) 125.
16. W. X. Ma, Acta Math. Appl. Sin. 13(4) (1990) 484-496.
17. Y. F. Zhang and H. Tam, Can. J. Phys. 86 (2008) 1367-1380.
18. Y. F. Zhang and C. Hon, Mod. Phys. Lett. B 21(30) (2007) 2063-2074.