$A_{n-1}$ Gaudin model with open boundaries
  The $A_{n-1}$ Gaudin model with integerable boundaries specified by non-diagonal K-matrices is studied. The commuting families of Gaudin operators are diagonalized by the algebraic Bethe ansatz method. The eigenvalues and the corresponding Bethe ansatz equations are obtained. 
Wen-Li Yang, Yao-Zhong Zhang and Ryu Sasaki