Binary nonlinearization of AKNS spectral problem under higher-order symmetry constraints

Chaos, solitons and fractals

Volumn 11, Issue 5, 2000, Pages 697-710

  Li, Yishen ^a,b   Ma, Wen Xiu ^b  

^a UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EQUATIONS OF MOTION; INTEGRAL EQUATIONS; MATRIX ALGEBRA; SPECTRUM ANALYSIS;

HAMILTON STRUCTURES; HIGHER-ORDER SYMMETRY CONSTRAINTS;

CONSTRAINT THEORY;

EID: 0033908285     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(98)00173-8     Document Type: Article

References (34)

1. C.W. Cao, Chin. Q. J. Math 3 (1988) 90.
2. C.W. Cao, Sci. China A (1990) 528.
3. C.W. Cao, X.G. Geng, J. Phys. A Math. Gen 23 (1990) 4117.
4. C.W. Cao, X.G. Geng, J. Math. Phys. 32 (1991) 2323.
5. Y.B. Zeng, Y.S. Li, J. Math. Phys. 30 (1989) 1671.
6. Y.B. Zeng, Phys. Lett. A. 160 (1991) 541.
7. Y.B. Zeng, Y.S. Li, Chinese Adv. in Math. 24 (1995) 111.
8. W.X. Ma, Nonlinear Physics in: C.H. Gu, Y.S. Li, G.Z. Tu (Eds.), Springer, Berlin, 1990, p.79.
9. W.X. Ma, Acta Math. Appl. Sin. 9 (1993) 92.
10. M. Antonowicz, S. Wojciechowski, Phys. Lett. A 147 (1990) 455.
11. M. Antonowicz, S. Wojciechowski, J. Math. Phys. 33 (1992) 211.
12. M. Antonowicz, S. Wojciechowski, Inverse Problem 9 (1993) 201.
13. X.G. Geng, W.X. Ma, II Nuovo Cimento A 108 (1995) 477.
14. B. Konopelchenko, J. Sidorenko, W. Strampp, Phys. Lett. A 157 (1991) 17.
15. Y. Cheng, Y.S. Li, Phys. Lett. A 157 (1991) 22.
16. B. Konopelchenko, W. Srampp, Inverse Problem 7 (1991) L17.
17. B. Konopelchenko, J. Math. Phys. 33 (1992) 3676.
18. J. Sidorenko, W. Strampp, Inverse Problem 7 (1991) L37.
19. B. Xu, Y.S. Li, J. Phys. A Math. Gen. 25 (1992) 2957.
20. W. Oevel, W. Strampp, Commun. Math. Phys. 157 (1993) 51.
21. W.X. Ma, W. Strampp, Phys. Lett. A 185 (1994) 277.
22. W.X. Ma, J. Phys. Soc. Japan 64 (1995) 1085.
23. W.X. Ma, Physica A 219 (1995) 467.
24. W.X. Ma, Chin. Ann. Math. 18B (1997) 79 (solv-int/9512002).
25. W.X. Ma, Q. Ding, W.G. Zhang, B.Q. Lu, II Nuovo Cimento Bill (1996) 1135.
26. W.X. Ma, B. Fuchsteiner, W. Oevel, Physica A 233 (1996) 331
27. L.D. Faddeev, L.A. Takhtajan, Hamiltonian Methods in the Theory of Solitons, Springer, Berlin, 1987.
28. Y.B. Zeng, J. Hietarinta, J. Phys. A Math. Gen. 29 (1996) 5241.
29. Y.B. Zeng, Inverse Problems 12 (1996) 797.
30. Y.B. Zeng, J. Math. Phys. 38 (1997) 321.
31. O. Babelon, C.M. Viallet, Phys. Lett. B 237 (1990) 411.
32. V.I. Arnold, Mathematical Methods in Classical Mechanics, Springer, New York, 1980.
33. X.X. Xu, J. Shandong Mining Inst. 16 (1997) 445.
34. X.X. Xu, An n×n matrix spectral problem for AKNS hierarchy and its binary nonlinearization, preprint, 1997.