A bi-Hamiltonian formulation for triangular systems by perturbations

Journal of Mathematical Physics

Volumn 43, Issue 3, 2002, Pages 1408-1421

  Ma, Wen Xiu ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035981865     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1432775     Document Type: Article

References (25)

1. F. Magri, J. Math. Phys. 19, 1156 (1978).
2. K.M. Case and A.M. Roos, J. Phys. A 22, 2824 (1981).
3. M. Lakshmanan and K.M. Tamizhmani, J. Math. Phys. 26, 1189 (1985).
4. W.X. Ma and B. Fuchssteiner, Chaos, Solitons Fractals 7, 1227 (1996).
5. B. Fuchssteiner, in Applications of Analytic and Geometric Methods to Nonlinear Differential Equations, edited by P.A. Clarkson NATO ASI Ser., Ser. C 413, 125 (1993).
6. W.X. Ma, Methods Appl. Anal. 7, 21 (2000).
7. I.M. Gelfand and I. Ya Dorfman, Funct. Anal. Appl. 13, 248 (1979).
8. A.S. Fokas and B. Fuchssteiner, Lett. Nuovo Cimento Soc. Ital. Fis. 28, 299 (1980).
9. M. Blaszak Multi-Hamiltonian Theory of Dynamical Systems (Springer, Berlin, 1998).
10. P.J. Olver, Applications of Lie Groups to Differential Equations, 2nd ed., Graduate Texts in Mathematics Vol. 107 (Springer, New York, 1993).
11. B. Fuchssteiner and A.S. Fokas, Physica D 4, 47 (1981).
12. B. Fuchssteiner, Nonlinear Anal. TMA 3, 849 (1979).
13. W.X. Ma, J. Phys. A 23, 2707 (1990).
14. W.X. Ma, Sci. China, Ser. A: Math., Phys., Astron. Technol. Sci. 34, 769 (1991).
15. K.M. Tamizhmani and M. Lakshmanan, J. Phys. A 16, 3773 (1983).
16. W.X. Ma and B. Fuchssteiner, Phys. Lett. A 213, 49 (1996).
17. A.S. Fokas, Stud. Appl. Math. 77, 253 (1987).
18. S. Yu Sakovich, J. Nonlinear Math. Phys. 5, 230 (1998).
19. A.V. Mikhailov, A.B. Shabat, and V.V. Sokolov, in What is integrability?, Springer Series in Nonlinear Dynamics, edited by V.E. Zakharov (Springer, Berlin, 1991), pp. 115-184.
20. W.X. Ma, J. Phys. A 31, 7585 (1998).
21. W.X. Ma, Masters Thesis, Academia Sinica, Beijing, 1985.
22. M. Antonowicz and A.P. Fordy, Physica D 28, 345 (1987).
23. W.X. Ma and M. Pavlov, Phys. Lett. A 28, 511 (1998).
24. M. Gürses and A. Karasu, J. Math. Phys. 39, 2103 (1998).
25. W.X. Ma and R.G. Zhou, Physica A 296, 60 (2001).