On the integrability properties of variable coefficient Korteweg - De Vries equations

Canadian Journal of Physics

Volumn 74, Issue 9-10, 1996, Pages 676-684

  Gungor F ^a   Sanielevici, M ^b   Winternitz, P ^b  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

^b UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0012519758     PISSN: 00084204     EISSN: None     Source Type: Journal    
DOI: 10.1139/p96-097     Document Type: Article

References (26)

1. J.P. Gazeau and P. Winternitz, J. Math. Phys. (N.Y.), 33, 4087 (1992); Phys. Lett. 167A, 246 (1992).
2. J.P. Gazeau and P. Winternitz, J. Math. Phys. (N.Y.), 33, 4087 (1992); Phys. Lett. 167A, 246 (1992).
3. V. Artale, D. Levi, E. Salusti, and F. Zirilli. Nuovo. Cimento Soc. Ital. Fis. C, 7, 365 (1984).
4. R.H.J. Grimshaw. Proc. R. Soc. London Ser. A, 368, 359 (1979); J. Fluid Mech. 86, 415 (1978).
5. R.H.J. Grimshaw. Proc. R. Soc. London Ser. A, 368, 359 (1979); J. Fluid Mech. 86, 415 (1978).
6. R.S. Johnson. J. Fluid. Mech. 60, 813 (1973).
7. J.W. Miles. Annu. Rev. Fluid Mech. 12, 11 (1980).
8. D. David, D. Levi, and P. Winternitz. Stud. Appl. Math. 76 133 (1987); 80, 1 (1989).
9. D. David, D. Levi, and P. Winternitz. Stud. Appl. Math. 76 133 (1987); 80, 1 (1989).
10. N. Zabusky and M.D. Kruskal. Phys. Rev. Lett. 15, 240 (1965).
11. C.S. Gardner, J.M. Greene, M.D. Kruskal, and R.M. Miura. Phys. Rev. Lett. 19, 1095 (1967).
12. M.J. Ablowitz and P.J. Clarkson. Solitons, nonlinear evolution equations and inverse scattering. Cambridge University Press, Cambridge, England. 1991.
13. P.G. Drazin and R.S. Johnson. Solitons: an introduction. Cambridge University Press, Cambridge, England. 1989.
14. L.D. Faddeev and L.A. Takhtajan. Hamiltonian methods in the theory of solitons. Springer-Verlag, New York. 1987.
15. L.A. Dickey. Soliton equations and Hamiltonian systems. World Scientific, Singapore. 1991.
16. P.J. Olver. Applications of Lie groups to differential equations. Springer, New York. 1986.
17. P. Winternitz. In Integrable systems, quantum groups, and quantum field theories. Edited by L.A. Ibort and M.A. Rodriguez. Kluwer Academic, Dordrecht, The Netherlands. 1993. pp. 429-195.
18. N. Joshi. Phys. Lett. 125A, 456 (1987).
19. V. Hlavatý. Phys. Lett. 128A, 335 (1987).
20. L. Abellanas and A. Galindo. Phys. Lett. 108A, 123 (1985).
21. J. Weiss, M. Tabor, and G. Carnavale. J. Math. Phys. (N.Y.), 24, 522 (1983).
22. M. Jimbo, M.D. Kruskal, and T. Miwa. Phys. Lett. 92A, 59 (1982).
23. G. Murphy. Ordinary differential equations. D. Van Nostrand, New York. 1960.
24. E.L. Ince. Ordinary differential equations. Dover, New York. 1956.
25. M.F. Singer. Pac. J. Math, 160, 343 (1993).
26. L. Abellanas and C. Martinez-Ontalba. J. Phys. A: Math. Gen. 26, L1229 (1993).