Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson   equation
  We explicitly obtain the $m$-soliton solutions of the (1+2)-dimensional matrix Davey-Stewartson equation from the known general solution of the matrix Toda chain with fixed ends. We write these solutions in terms of $m+m$ independent solutions of a pair of linear Shr\"odinger equations with Hermitian potentials. 
Andrei N. Leznov and Emil A. Yuzbashyan