Abstract
In this work we have generalized the super KdV equation into a multicomponent super KdV equation. It is shown that the system is bi-super Hamiltonian. The third super Hamiltonian in the multicomponent super KdV hierarchy is obtained and the corresponding first and second members of evolution equations are given.
Similar content being viewed by others
References
B.A. Kupershmidt:Elements of superintegrable systems, D. Reidel, Dortrecht, 1987.
B.A. Kupershmidt (Ed.):Integrable and super integrable systems, World Scientific, Singapore, 1990.
S.I. Svinolupov: Functional Anal. Appl.27 (1994) 257.
Ö. Oğuz: inSymmetries in Science VIII, (Ed. by B. Gruber), Plenum Press, New York and London, 1995, p. 405.
M. Gürses and A. Karasu: Phys. Lett. A214 (1996) 21.
M. Gürses and A. Karasu: J. Math. Phys.39 (1998) 2103.
A. Karasu (Kalkanli): J. Math. Phys.38 (1997) 3616.
V.E. Adler, S.I. Svinolupov, and R.I. Yamilov: Phys. Lett. A254 (1999) 24.
Ma Wen-Xiu: J. Phys. A: Math. Gen.31 (1998) 7585.
M. Gürses and Ö. Oğuz: Phys. Lett. A108 (1985) 437.
P. Mathieu: Lett. Math. Phys.16 (1988) 199.
P.J. Olver:Applications of Lie Groups to Differential equations, Springer-Verlag, New York, 1986.
D. Yazici, O. Oğuz, and Ö. Oğuz: J. Phys. A: Math. Gen.34 (2001) 7713.
P. Mathieu: J. Math. Phys.29 (1988) 2499.
Author information
Authors and Affiliations
Additional information
This work is supported by Yildiz Technical University Foundation under project No. 21-01-01-02.
Rights and permissions
About this article
Cite this article
Yazici, D., Oğuz, O. & Oğuz, O. Hamiltonian structure of multi component integrable systems. Czech J Phys 51, 1459–1463 (2001). https://doi.org/10.1023/A:1013363212956
Received:
Issue Date:
DOI: https://doi.org/10.1023/A:1013363212956