Tzitzeica solitons versus relativistic Calogero–Moser three-body clusters
نویسندگان
چکیده
منابع مشابه
Tzitzeica solitons vs. relativistic Calogero-Moser 3-body clusters
We establish a connection between the hyperbolic relativistic Calogero-Moser systems and a class of soliton solutions to the Tzitzeica equation (aka the DoddBullough-Zhiber-Shabat-Mikhailov equation). In the 6N -dimensional phase space Ω of the relativistic systems with 2N particles and N antiparticles, there exists a 2N dimensional Poincaré-invariant submanifold ΩP corresponding to N free part...
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