Applications of Nambu mechanics to systems of hydrodynamical type

Journal of Mathematical Physics

Volumn 43, Issue 8, 2002, Pages 4035-4040

  Guha, Partha ^a  

^a S N BOSE NATIONAL CENTRE FOR BASIC SCIENCES   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035981750     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1481955     Document Type: Article

References (32)

1. Y. Nambu, Phys. Rev. D 7, 2405 (1973).
2. F. Bayen and M. Flato, Phys. Rev. D 11, 3049 (1975).
3. N. Mukunda and E.C.G. Sudarshan, Phys. Rev. D 13, 2846 (1976).
4. L. Takhtajan, Commun. Math. Phys. 160, 295 (1994).
5. D. Alekseevsky and P. Guha, Acta Math. Univ. Comenian. (N.S.) 65, 1 (1996).
6. J.A. Azcárraga and J.C. Prez Bueno, Commun. Math. Phys. 184, 669 (1997).
7. J.A. Azcärraga, A.M. Perelomov, and J.C. Prez Bueno, J. Phys. A 29, 7993 (1996).
8. J. Grabowski and G. Marmo, J. Phys. A 32, 4239 (1999).
9. J. Grabowski and G. Marmo, Diff. Geom. Applic. 12, 35 (2000).
10. G. Marmo, G. Vilasi, and A.M. Vinogradov, J. Geom. Phys. 25, 141 (1998).
11. P. Michor and I. Vaisman, "A note on n-ary Poisson brackets," in The Proceedings of the 19th Winter School "Geometry and Physics," 1999; Rend. Circ. Mat. Palermo (2) Suppl. No. 63, 165 (2000).
12. P. Michor and I. Vaisman, "A note on n-ary Poisson brackets," in The Proceedings of the 19th Winter School "Geometry and Physics," 1999; Rend. Circ. Mat. Palermo (2) Suppl. No. 63, 165 (2000).
13. P. Michor and A.M. Vinogradov, "n-ary Lie and associative algebras," Geometrical structures for physical theories, II (Vietri, 1996); Rend. Sem. Mat. Univ. Politec. Torino 54, 373 (1996).
14. P. Michor and A.M. Vinogradov, "n-ary Lie and associative algebras," Geometrical structures for physical theories, II (Vietri, 1996); Rend. Sem. Mat. Univ. Politec. Torino 54, 373 (1996).
15. I. Vaisman, Acta Math. Univ. Comenian. (N.S.) 68, 213 (1999).
16. I. Vaisman, J. Lie Theory 10, 181 (2000).
17. R. Chatterjee, Lett. Math. Phys. 36, 117 (1996).
18. C. Gonera and Y. Nutku, Phys. Lett. A 285, 301 (2001).
19. J.-P. Dufour and M. Zhitomirskii, Isr. J. Math. 121, 199 (2001).
20. J.-P. Dufour and M. Zhitomirskii, "Nambu structures and integrable 1-forms," math.DG/0002167.
21. J.-P. Dufour and N.T. Zung, Compos. Math. 117, 77 (1999).
22. P. Guha, J. Nonlinear Math. Phys. 8, 325 (2001).
23. P. Guha, "Generalized Poisson Mechanics in D-Brane," submitted to Int. J. Mod. Phys. A.
24. Y.C. Li, J. Math. Phys. 41, 728 (2000).
25. Y.C. Li and A. Yurov, "Lax Pairs and Darboux Transformations for Euler Equations," math.AP/0101214.
26. B.A. Dubrovin and S.P. Novikov, "Hydrodynamics of soliton lattices," in Soviet Scientific Reviews, Section C: Mathematical Physics Reviews, Vol. 9, Part 4 (Harwood Yverdon, 1993).
27. L. Baker and D. Fairlie, "Brane-wave Duality," hep-th/9908157.
28. L. Baker and D. Fairlie, Nucl. Phys. B 596, 348 (2001).
29. L. Baker and D. Fairlie, J. Math. Phys. 41, 4284 (2000).
30. M. Arik, F. Neyzi, Y. Nutku, P. Olver, and J. Verosky, J. Math. Phys. 30, 1338 (1989).
31. S. Friedlander and M.M. Vishik, Phys. Lett. A 148, 313 (1990).
32. S. Friedlander and M.M. Vishik, Nonlinearity 6, 231 (1993).