On quasi-periodic solutions of the 2 + 1 dimensional Caudrey-Dodd-Gibbon-Kotera-Sawada equation

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 256, Issue 1, 1999, Pages 59-65

  Cao, Cewen ^a   Wu, Yongtang ^b   Geng, Xianguo ^c  

^a ZHENGZHOU UNIVERSITY   (China)

^b HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^c CCAST WORLD LABORATORY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

JACOBI COORDINATES; LAX PAIRS; NONLINEARIZATION; QUASI-PERIODIC SOLUTION; RIEMANN THETA FUNCTION;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0002682063     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(99)00201-7     Document Type: Article

References (21)

1. A.C. Newell, Solitons in Mathematics and Physics, SIAM, Philadelphia, 1985.
2. M.J. Ablowitz, P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, 1991.
3. S. Novikov, S.V. Manakov, L.P. Pitaevskii, V.E. Zakharov, Theory of Solitons, The Inverse Scattering Methods, Consultants Bureau, New York, 1984.
4. I, Cherednik, Basic Methods of Soliton Theory, World Scientific, Singapore, 1996.
5. I.M. Kreiechver, Funct. Anal. Appl. 9 (1975) 105.
6. B.A. Dubrovin, Funct. Anal. Appl. 9 (1975) 215.
7. C.W. Cao, X.G. Geng, in: C.H. Gu, Y.S. Li and G.Z. Tu (Eds.), Nonlinear Physics, Research Reports in Physics, pp. 68-78, Springer, Berlin, 1990.
8. C.W. Cao, X.G. Geng, J. Phys. A: Math. Gen. 23 (1990) 4117.
9. C.W. Cao, Sci. China A 33 (1990) 528.
10. R.G. Zhou, J. Math. Phys. 38 (1997) 2535.
11. B. Konopelchenko, V. Dubrovsky, Phys. Lett. A 102 (1984) 45.
12. Y. Cheng, Y. Li, J. Phys. A: Math. Gen. 25 (1992) 419.
13. K. Sawada, J. Kotera, Prog. Theor. Phys. 51 (1974) 1355.
14. J.D. Gibbon, R.K. Dodd, P.J. Caudrey, Proc. Roy. Soc. London A351 (1976) 407.
15. J.D. Gibbon, R.K. Dodd, Proc. Roy. Soc. London A358 (1977) 287.
16. B. Konopelchenko, W. Strampp, J. Phys. A: Math. Gen. 25 (1992) 4399.
17. E. Date, Prog. Theor. Phys. 59 (1978) 265.
18. E.R. Tracy, H.H. Chen, Y.C. Lee, Phys. Rev. Lett. 53 (1984) 218.
19. X.G. Geng, Y.T. Wu, Finite-band solutions of the classical Boussinesq-Burgers equations, to be published, 1998.
20. C.L. Siegel, Topic in Complex Function Theory, Vol. 2, Wiley, New York, 1971.
21. P. Griffiths, J. Harris, Principlea of Algebraic Geometry, Wiley, New York, 1994.