Bi-Hamiltonian structures of the coupled AKNS hierarchy and the coupled Yajima-Oikawa hierarchy

Journal of Mathematical Physics

Volumn 37, Issue 5, 1996, Pages 2307-2314

  Liu, Q P ^a,b  

^a CCAST WORLD LABORATORY   (China)

^b CHINA UNIVERSITY OF MINING AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030525658     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531510     Document Type: Article

References (31)

1. Y. Cheng, J. Math. Phys. 33, 3774 (1992).
2. B. G. Konopelchenko and W. Strampp, Inv. Prob. 7, L17 (1991); B. G. Konopelchenko, J. Sidorenko, and W. Strampp, Phys. Lett. A 157, 17 (1991); J. Sidorenko and W. Strampp, Inv. Problems 7, L37 (1991).
3. B. G. Konopelchenko and W. Strampp, Inv. Prob. 7, L17 (1991); B. G. Konopelchenko, J. Sidorenko, and W. Strampp, Phys. Lett. A 157, 17 (1991); J. Sidorenko and W. Strampp, Inv. Problems 7, L37 (1991).
4. B. G. Konopelchenko and W. Strampp, Inv. Prob. 7, L17 (1991); B. G. Konopelchenko, J. Sidorenko, and W. Strampp, Phys. Lett. A 157, 17 (1991); J. Sidorenko and W. Strampp, Inv. Problems 7, L37 (1991).
5. Y. Cheng and Y. Li, Phys. Lett. A 157, 22 (1991).
6. W. Oevel and W. Strampp, Commun. Math. Phys. 157, 51 (1993).
7. C. W. Cao, Henan Sci. 2, 2 (1987); Sci. China (Scientia Sinica) 33, 528 (1990).
8. C. W. Cao, Henan Sci. 2, 2 (1987); Sci. China (Scientia Sinica) 33, 528 (1990).
9. L. A. Dickey, Soliton equations and Hamiltonian systems (World Scientific, Singapore, 1991).
10. N. Yajima and M. Oikawa, Prog. Theor. Phys. 56, 1719 (1976).
11. V. K. Melnikov, Phys. Lett. A 118, 22 (1986); Lett. Math. Phys. 7, 129 (1983); Commun. Math. Phys. 112, 639 (1987); 120, 481 (1989).
12. V. K. Melnikov, Phys. Lett. A 118, 22 (1986); Lett. Math. Phys. 7, 129 (1983); Commun. Math. Phys. 112, 639 (1987); 120, 481 (1989).
13. V. K. Melnikov, Phys. Lett. A 118, 22 (1986); Lett. Math. Phys. 7, 129 (1983); Commun. Math. Phys. 112, 639 (1987); 120, 481 (1989).
14. V. K. Melnikov, Phys. Lett. A 118, 22 (1986); Lett. Math. Phys. 7, 129 (1983); Commun. Math. Phys. 112, 639 (1987); 120, 481 (1989).
15. W. Oevel, Physica A 195, 533 (1993).
16. Q. P. Liu, Phys. Lett. A 187, 373 (1994).
17. Q. P. Liu and C. S. Xiong, Phys. Lett. B 327, 257 (1994).
18. M. Borona, Q. P. Liu, and C. S. Xiong, Commun. Math. Phys. 175, 177 (1996).
19. J. Sidorenko and W. Strampp, J. Math. Phys. 34, 1429 (1993).
20. S. Manakov, Sov. Phys. JEPT 38, 248 (1974).
21. B. A. Kupershmidt, Discrete Lax equations and differential-difference calculus, Revue Asterisque, Vol. 123, Paris (1985).
22. B. Fuchssteiner, Nonlin. Anal. Theor. Meth. Appl. 3, 849 (1979); B. Fuchssteiner and A. S. Fokas, Physica D 4, 47 (1981).
23. B. Fuchssteiner, Nonlin. Anal. Theor. Meth. Appl. 3, 849 (1979); B. Fuchssteiner and A. S. Fokas, Physica D 4, 47 (1981).
24. B. A. Kupershmidt, private communication.
25. D. A. Depireux and P. Mathieu, Int. J. Mod. Phys. A 7, 6053 (1992).
26. A. P. Fordy and P. P. Kulish, Commun. Math. Phys. 89, 427 (1983); H. Aratyn, J. F. Gomes, and A. H. Zimerman, IFT-P/029/94, UICHEP-TH/93,hep-th/9408104.
27. A. P. Fordy and P. P. Kulish, Commun. Math. Phys. 89, 427 (1983); H. Aratyn, J. F. Gomes, and A. H. Zimerman, IFT-P/029/94, UICHEP-TH/93,hep-th/9408104.
28. N. Asano and Y. Kato, Prog. Theor. Phys. 74, 1005 (1985).
29. P. Casati, F. Magri, and M. Pedroni, in Mathematical Aspects of Classical Field Theory, edited by M. J. Gotay, J. E. Marsden, and V. E. Moncrirf (AMS, Providence, 1991).
30. W. Oevel and O. Ragnisco, Physica A 161, 181 (1989).
31. L. Feher and I. Marshall, SWAT-95-61, hep-th/9503217.