Quasi-periodic solutions for modified Toda lattice equation

Chaos, Solitons and Fractals

Volumn 40, Issue 3, 2009, Pages 1297-1308

  Hon, Y C ^a   Fan, E G ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b FUDAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES;

INVERSION TECHNIQUES; JACOBI COORDINATES; LENARD OPERATORS; QUASI-PERIODIC SOLUTION; RIEMANN SURFACES; RIEMANN THETA FUNCTION; SPECTRAL PROBLEM; TODA LATTICE EQUATIONS;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 65349190559     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.chaos.2007.09.008     Document Type: Article

References (26)

1. Dubrovin B.A. Funct Anal Appl 9 (1975) 41
2. Its A., and Matveev V. Funct Anal Appl 9 (1975) 69
3. Date E. Prog Theor Phys 59 (1978) 265
4. Belokolos E., Bobenko A., Enol'skij V., Its A., and Matveev V. Algebro-geometrical approach to nonlinear integrable equations (1994), Springer, Berlin
5. Novikov S.P., Manakov S.V., Pitaeskii L.P., and Zakharov V.E. Theory of solitons, The inverse scattering methods (1980), Nauka, Moscow
6. Christiansen P.L., Eilbeck J.C., Enolskii V.Z., and Kostov N.A. Proc Roy Soc London A Math 451 (1995) 685
7. Alber M.S., and Fedorov Y.N. Inverse Probl 17 (2001) 1017
8. Previato E. Duke Math J 52 (1985) 329
9. Porubov A.V., and Paeker D.F. Wave Motion 29 (1999) 97
10. Zhou R.G. J Math Phys 38 (1997) 2535
11. Cao C.W., Wu Y.T., and Geng X.G. J Math Phys 40 (1999) 3948
12. Dai H.H., and Geng X.G. Chaos, Solitons & Fractals 18 (2003) 1031-1044
13. Geng X.G., Cao C.W., and Dai H.H. Chaos, Solitons & Fractals 20 (2004) 311-321
14. Qiao Z.J. Rev Math Phys 13 (2001) 545
15. Cao C.W., Geng X.G., and Wang H.Y. J Math Phys 43 (2002) 621
16. Hon Y.C., and Fan E.G. Chaos, Solitons & Fractals 24 (2005) 1087-1096
17. Ma W.X., and Xu X.X. J Phys A 37 (2004) 1323-1336
18. Ma WX, Xu XX. Positive and negative hierarchies of integrable lattice models associated with a Hamitonian pair, Print, 2002.
19. Ma W.X., and You Y.C. Chaos, Solitons & Fractals 22 (2004) 395-406
20. Zhao J.-X. Chaos, Solitons & Fractals 21 (2004) 29-37
21. Sun M.N., Deng S.F., and Chen D.Y. Chaos, Solitons & Fractals 23 (2005) 1169-1175
22. Fan X., and Tian L. Chaos, Solitons & Fractals 29 (2006) 882-894
23. Xie F.D., Lu Z.S., and Wang D.K. Chaos, Solitons & Fractals 27 (2006) 217-222
24. Xu X.X., and Yang H.X. Mod Phys Lett B 20 (2006) 641-648
25. Newell A.C. Solitons in mathematics and physics (1985), SIAM, Philadephia
26. Toda M. Theory of nonlinear lattices (1989), Springer, Berlin