On some exact solutions of a quark plasma equilibrium in the abelian dominance approximation

The stationary kinetic equations for a two-flux quark plasma (QP) in the abelian dominance approximation are reduced to the nonlinear system of A2-periodic Toda chain (with the elliptic operator). Using the solutions of this system, which are found with the help of the first integrals and Hirotaʹs method, the characteristics of QP: the distribution function and the potential of the self-consistent field are constructed.