Uniqueness of the solution of the Gaudin's equations, which describe a   one-dimensional system of point bosons with zero boundary conditions
  We show that the system of Gaudin's equations for quasimomenta k_{j}, which describes a one-dimensional system of spinless point bosons with zero boundary conditions, has the unique real solution for each set of quantum numbers n_{j}. 
Maksim Tomchenko
math-ph cond-mat.quant-gas math.MP