Bi-Hamiltonian operators, integrable flows of curves using moving frames and geometric map equations

Journal of Physics A: Mathematical and General

Volumn 39, Issue 9, 2006, Pages 2043-2072

  Anco, Stephen C ^a  

^a BROCK UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32944467597     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/39/9/005     Document Type: Article

References (29)

1. Lakshmanan M 1979 J. Math. Phys. 20 1667-72
2. Ricca R L 1991 Nature 352 561-2
3. Hasimoto H 1972 J. Fluid Mech. 51 477-85
4. Chang N-H, Shatah J and Uhlenbeck K 2000 Comm. Pure Appl. Math. 53 590-602
5. Polhmeyer K 1976 Comm. Math. Phys. 46 207-21
6. Lamb G L Jr 1977 J. Math. Phys. 18 1654-61
7. Doliwa A and Santini P M 1994 Phys. Lett. A 185 373-84
8. MaríBeffa G, Sanders J and Wang J-P 2002 J. Nonlinear Sci. 12 143-67
9. Sanders J and Wang J-P 2003 Moscow Math. J. 3 1369-93
10. Bishop R 1975 Am. Math. Mon. 82 246-51
11. Anco S C and Wang J-P 2005 in preparation
12. Wang J-P 2003 Symmetry and Perturbation Theory ed S Abenda, G Gaeta and S Walcher (Singapore: World Scientific)
13. Guggenheimer H W 1963 Differential Geometry (New York: McGraw-Hill)
14. Sanders J and Wang J-P 2005 Preprint
15. Chou K-S and Qu C 2002 Physica D 162 9-33
16. Chou K-S and Qu C 2002 Chaos Solitons Fractals 14 29-44
17. Chou K-S and Qu C 2003 J. Nonlinear Sci. 13 487-517
18. Chou K-S and Qu C 2004 Chaos Solitons Fractals 19 47-53
19. Dorfman I 1993 Dirac Structures and Integrability of Nonlinear Evolution Equations (New York: Wiley)
20. Olver P J 1986 Applications of Lie Groups to Differential Equations (New York: Springer)
21. Kobayashi S and Nomizu K 1969 Foundations of Differential Geometry vols I and II (New York: Wiley)
22. MaríBeffa G 2001 Contemp. Math. 285 29-38
23. Sokolov V V and Wolf T 2001 J. Phys. A: Math. Gen. 34 11139-48
24. Anco S and Wolf T 2005 J. Nonlinear Math. Phys. 12 13-31
25. Anco S and Wolf T 2005 J. Nonlinear Math. Phys. 12 607-8
26. Bakas I, Park Q-H and Shin H-J 1996 Phys. Lett. B 372 45-52
27. Pohlmeyer K and Rehren K-H 1979 J. Math. Phys. 20 2628-32
28. Zakharov V E and Mikailov A V 1978 Sov. Phys.-JETP 47 1017-27
29. Sagle A and Walde R 1973 Introduction to Lie Groups and Lie Algebras (New York: Academic)