Finite-band solutions of the classical Boussinesq-Burgers equations

Journal of Mathematical Physics

Volumn 40, Issue 6, 1999, Pages 2971-2982

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

^a CCAST WORLD LABORATORY   (China)

^b ZHENGZHOU UNIVERSITY   (China)

^c HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033147869     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532739     Document Type: Article

References (18)

1. S. P. Novikov, S. V. Manakov, L. P. Pitaevskii, and V. E. Zakharov, Theory of Solitons, The Inverse Scattering Methods, Nauka, Moskva, 1980 (in Russian) [English translation (Plenum, New York, 1984)].
2. B. A. Dubrovin, Funct. Anal. Appl. 9, 61 (1975).
3. A. R. Its and V. B. Matveev, Theor. Math. Phys. 23, 51 (1975).
4. E. Date, Prog. Theor. Phys. 59, 265 (1978).
5. E. R. Tracy, H. H. Chen, and Y. C. Lee, Phys. Rev. Lett. 53, 218 (1984).
6. V. B. Matveev and M. I. Yavor, Ann. Inst. Henri Poincaré, Sect. A 31, 25 (1979).
7. A. O. Smirnov, Theor. Math. Phys. 66, 19 (1986).
8. C. W. Cao, Sci. China, Ser. A 33, 528 (1990).
9. C. W. Cao and X. G. Geng, J. Phys. A 23, 4117 (1990).
10. C. W. Cao, "Integrable structure of the TD-Bargmann system through the generating function approach" (to be published).
11. R. G. Zhou, J. Math. Phys. 38, 2535 (1997).
12. F. Gesztesy and R. Ratnaseelan, Rev. Math. Phys. 10, 345 (1998).
13. R. L. Sachs, Physica D 30, 1 (1988).
14. M. Ito, Phys. Lett. 104A, 248 (1984).
15. S. Kawamoto, J. Phys. Soc. Jpn. 53, 469 (1984).
16. Z. Q. Gu, J. Math. Phys. 31, 1374 (1990).
17. C. L. Siegel, Topics in Complex Function Theory (Wiley, New York, 1971), Vol. 2.
18. P. Griffiths and J. Harris, Principles of Algebraic Geometry (Wiley, New York, 1994).