Distribution of Transmission Eigenvalues in Disordered Wires

We solve the Dorokhov-Mello-Pereyra-Kumar equation which describes the evolution of an ensemble of disordered wires of increasing length in the three cases $\beta =1,2,4\mathrm{}$. The solution is obtained by mapping the problem in that of a suitable Calogero-Sutherland model. In the $\beta =2\mathrm{}$ case our solution is in complete agreement with that recently found by Beenakker and Rejaei.