A discrete variational identity on semi-direct sums of Lie algebras

Journal of Physics A: Mathematical and Theoretical

Volumn 40, Issue 50, 2007, Pages 15055-15069

  Ma, Wen Xiu ^a  

^a UNIVERSITY OF SOUTH FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 36749037902     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/40/50/010     Document Type: Article

References (36)

1. Ma W X and Fuchssteiner B 1996 Chaos Solitons Fractals 7 1227
2. Ma W X 2000 Methods Appl. Anal. 7 21
3. Ma W X, Xu X X and Zhang Y F 2006 Phys. Lett. A 351 125
4. Ma W X, Xu X X and Zhang Y F 2006 J. Math. Phys. 47 053501
5. Ma W X and Zhou R G 2002 Physica A 296 60
6. Ma W X 2003 Phys. Lett. A 316 72
7. Guo F K and Zhang Y F 2004 Chaos Solitons Fractals 19 1207
8. Xia T C, Yu F J and Zhang Y 2004 Physica A 343 238
9. Ma W X 2005 J. Math. Phys. 46 033507
10. Ding H Y, Sun Y P and Xu X X 2006 Chaos Solitons Fractals 30 227
11. Ma W X and Zhou R G 2002 Chin. Ann. Math. Ser. B 23 373
12. Jacobson N 1962 Lie Algebras (New York: Interscience)
13. Olshanetsky M A and Perelomov A M 1981 Phys. Rep. C 71 313
14. Calogero F 2001 Classical Many-Body Problems Amenable to Exact Treatments (Lecture Notes in Physics, New Series m: Monographs vol 66) (Berlin: Springer)
15. Clarkson P A and Winternitz P 1999 The Painlevé Property (CRM Ser. Math. Phys.) (New York: Springer) pp 591-660
16. Basarab-Horwath P, Lahno V and Zhdanov R 2001 Acta Appl. Math. 69 43
17. Hurtubise J C and Markman E 2001 Commun. Math. Phys. 223 533
18. Ma W X and Fuchssteiner B 1999 J. Math. Phys. 40 2400
19. Ma W X and Xu X X 2004 J. Phys. A: Math. Gen. 37 1323
20. Ma W X 1993 Phys. Lett. A 179 179
21. Tu G Z 1990 J. Phys. A: Math. Gen. 23 3903
22. Ma W X 1992 Chin. Ann. Math. Ser. A 13 115
23. Luks E 1970 J. Algebra 15 280
24. O'Raifeartaigh L 1965 Phys. Rev. B 139 1052
25. Ma W X and Chen M 2006 J. Phys. A: Math. Gen. 39 10787
26. Guo F K and Zhang Y F 2005 J. Phys. A: Math. Gen. 38 8537
27. Antonowicz M, Fordy A P and Liu Q P 1991 Nonlinearity 4 669
28. Hu X B 1994 J. Phys. A: Math. Gen. 27 2497
29. Zhang Y F 2007 Mod. Phys. Lett. B 21 37
30. Zhang H W, Tu G Z, Oevel W and Fuchssteiner B 1991 J. Math. Phys. 32 1908
31. Ragnisco O and Santini P M 1990 Inverse Problems 6 441
32. Kodama Y and Ye J 1996 Commun. Math. Phys. 178 765
33. Tsuchida T, Ujino H and Wadati M 1999 J. Phys. A: Math. Gen. 32 2239
34. Zhang D J and Chen D Y 2002 J. Phys. A: Math. Gen. 35 7225
35. Maruno K and Biondini G 2004 J. Phys. A: Math. Gen. 37 1819
36. Zhang J B and Zhou R G 2005 J. Xuzhou Norm. Univ. Nat. Sci. Ed. 23 15