Multi-soliton solutions of the two-dimensional matrix Davey-Stewartson equation
Andrei N. Leznov, Emil A. Yuzbashyan
Abstract
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.
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