New finite-dimensional completely integrable systems associated with the sine-Gordon equation

Journal of the Physical Society of Japan

Volumn 68, Issue 9, 1999, Pages 2878-2881

  Dai, Hui Hui ^a   Geng, Xianguo ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b ZHENGZHOU UNIVERSITY   (China)

Author keywords

Explicit solutions; Finite dimensional integrable systems; Nonlinearization method; Sine Gordon equation

Indexed keywords

EID: 0033483845     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.68.2878     Document Type: Article

References (9)

1. M. J. Ablowitz and H. Segur: Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, 1981).
2. G. L. Jr. Lamb: Elements of Soliton Theory (Wiley, New York, 1980).
3. J. L. Lamb: Rev. Mod. Phys. 43 (1971) 99.
4. P. J. Caudry, J. D. Gibbon, J. C. Eilbeck and R. K. Bullough: Phys. Rev. Lett. 30(1973) 237.
5. A. Barone, F. Esposito, C. J. Magee and A. C. Scott: Riv. Nuovo Cimento 1 (1971) 161.
6. C. W. Cao and X. G. Geng: Nonlinear Physics. Research Reports in Physics, ed. C. H. Gu, Y. S. Li and G. Z. Tu (Springer, Berlin, 1990) p. 68.
7. C. W. Cao: Sci. China A 33 (1990) 528.
8. C. W. Cao and X. G. Geng: J. Phys. A; Math. and Gen. 23 (1990) 4117.
9. V. I. Arnold: Mathematical Methods of Classical Mechanics (Springer, Berlin, 1978).