The Coupled Modified Korteweg-de Vries Equations

Journal of the Physical Society of Japan

Volumn 67, Issue 4, 1998, Pages 1175-1187

  Tsuchida, Takayuki ^a   Wadati, Miki ^a  

^a UNIVERSITY OF TOKYO   (Japan)

Author keywords

Conservation law; Initial value problem; Inverse scattering method; Modified KdV equation; Multi component system; Soliton solution

Indexed keywords

EID: 0032365143     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.67.1175     Document Type: Article

References (24)

1. M. J. Ablowitz and H. Segur: Solitons and the Inverse Scattering Transform (SIAM, Philadelphia, 1981).
2. M. J. Ablowitz and P. A. Clarkson: Solitons, Nonlinear Evolution Equations and Inverse Scattering (Cambridge University Press, Cambridge, 1991).
3. R. M. Miura, C. S. Gardner and M. D. Kruskal: J. Math. Phys. 9 (1968) 1204.
4. M. Wadati: J. Phys. Soc. Jpn. 32 (1972) 1681.
5. M. Wadati: J. Phys. Soc. Jpn. 34 (1973) 1289.
6. R. Hirota: J. Phys. Soc. Jpn. 33 (1972) 1456.
7. S. V. Manakov: Sov. Phys. JETP 38 (1974) 248.
8. P. J. Caudrey: Physica D 6 (1982) 51.
9. R. Beals and R. R. Coifman: Inverse Problems 5 (1989) 87.
10. V. E. Zakharov and A. B. Shabat: Funct. Anal. Appl. 8 (1974) 43 [in Russian].
11. N. Yajima and M. Oikawa: Prog. Theor. Phys. 54 (1975) 1576.
12. N. Sasa and J. Satsuma: J. Phys. Soc. Jpn 60 (1991) 409.
13. C. Athorne and A. Fordy: J. Phys. A 20 (1987) 1377.
14. A. P. Fordy and M. N. Ozer: Proceedings of the Conference on Nonlinear Structures in Physics and Biology, ed. D. B. Duncan and J. C. Eilbeck (published on WWW: http://www.ma.hw.ac.uk/solitons/procs/).
15. M. Iwao and R. Hirota: J. Phys. Soc. Jpn 66 (1997) 577.
16. R. Hirota: J. Phys. Soc. Jpn. 66 (1997) 2530.
17. M. Wadati, H. Sanuki and K. Konno: Prog. Theor. Phys. 53 (1975) 419.
18. V. E. Korepin, N. M. Bogoliubov and A. G. Izergin: Quantum Inverse Scattering Method and Correlation Functions (Cambridge University Press, Cambridge, 1993).
19. M. Wadati and T. Kamijo: Prog. Theor. Phys. 52 (1974) 397.
20. M. Wadati: Solitons, ed. R. K. Bullough and P. J. Caudrey (Springer, Berlin, 1980) p. 287.
21. S. I. Svinolupov: Commun. Math. Phys. 143 (1992) 559.
22. R. Hirota: J. Math. Phys. 14 (1973) 805.
23. H. Eichenherr and K. Pohlmeyer: Phys. Lett. B 89 (1979) 76.
24. Ü. Göktaş and W. Hereman: J. Symbolic Computation 11 (1997) 1, solv-int/9702008, WWW: http://www.mines.edu/fs_home/whereman/