References
R. Camassa and D. Holm, Phys. Rev. Lett. 71(11), 1661 (1993).
R. Camassa, D. Holm, and J.M. Hyman, Adv. in Appl. Mech. 3, 1 (1994).
B. Fuchssteiner and A. S. Fokas, Phys. D 4, 47 (1981).
G. Falqui, J. Phys. A Math. Gen. 39, 327 (2006).
Ming Chen, Si-Qi Liu, and Youjin Zhang, Lett. Math. Phys. 75(1), 1 (2006).
S.-Q. Liu and Y. Zhang, J. Geom. Phys. 54, 427 (2005).
P. J. Oliver and P. Rozenau, Phys. Rev. E 53, 1900 (1996).
H. Aratyn, J. F. Gomes, and A. H. Zimerman, J. Phys. A Math. Gen. 39, 1099 (2006).
A. A. Kirillov, in The Geometry of Moments. Twistor Geometry and Nonlinear Systems, Primorsko, 1980, Lecture Notes in Math. (Springer-Verlag, Berlin, 1982), Vol. 970, pp. 101–123.
P. Marcel, V. Ovsienko, and C. Roger, Lett. Math. Phys. 40, 31 (1997).
V. Yu. Ovsienko and C. Roger, Funktsional. Anal. i Prilozhen. 30(4), 86 (1996).
E. Arbarello, C. De Concini, V. G. Kac, and C. Procesi, Comm. Math. Phys. 117(1), 1 (1988).
Author information
Authors and Affiliations
Additional information
Original Russian Text © P. A. Kuz’min, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 1, pp. 149–152.
Rights and permissions
About this article
Cite this article
Kuz’min, P.A. Two-component generalizations of the Camassa-Holm equation. Math Notes 81, 130–134 (2007). https://doi.org/10.1134/S0001434607010142
Received:
Issue Date:
DOI: https://doi.org/10.1134/S0001434607010142