The Calogero Equation and Liouville-Type Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 1, pp. 109-115 Cet article a éte moissonné depuis la source Math-Net.Ru

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We present a two-component generalization of the C-integrable Calogero equation that is also C-integrable. We show that the Calogero equation and its two-component generalization are solvable by a reciprocal transformation to ODEs.
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M. V. Pavlov. The Calogero Equation and Liouville-Type Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 1, pp. 109-115. http://geodesic.mathdoc.fr/item/TMF_2001_128_1_a8/

[1] F. Calogero, Stud. Appl. Math., 70:3 (1984), 189–199 | DOI | MR | Zbl

[2] J. K. Hunter, R. Saxton, SIAM J. Appl. Math., 51:6 (1991), 1498–1521 | DOI | MR | Zbl

[3] P. Olver, P. Rosenau, Phys. Rev. E (3), 53:2 (1996), 1900–1906 | DOI | MR

[4] V. S. Dryuma, “On initial values problem in theory of the second order ODE's”, Proc. Workshop on Nonlinearity, Integrability, and All That: Twenty years after NEEDS'79 (Gallipoli (Lecce), Italy, July 1–July 10, 1999), eds. M. Boiti, L. Martina, F. Pempinelli, B. Prinari, G. Soliani, World Scientific, Singapore, 2000, 109–116 | DOI | MR | Zbl

[5] H. H. Dai, M. Pavlov, J. Phys. Soc. Japan, 67:11 (1998), 3655–3657 | DOI | MR | Zbl

[6] M. V. Pavlov, “Gurevich–Zybin system”, J. Phys. A, Math. Gen., 38:17 (2005), 3821–3840 | DOI | MR | Zbl

[7] A. V. Gurevich, K. P. Zybin, ZhETF, 94:10 (1988), 5–15 ; УФН, 165:7 (1995), 723–758 | DOI

[8] A. M. Kamchatnov, M. V. Pavlov, A new $C$-integrable limit of SHG equations, E-print nlin.SI/0012014