Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation Original Research Article

The explicit formulae for m-soliton solutions of the (1+2)-dimensional matrix Davey-Stewartson equation are represented. They are found by means of the known general solution of the matrix Toda chain with fixed ends. These solutions are expressed through m + m independent solutions of a pair of linear Schrödinger equations with Hermitian potentials.