Monodromy of the matrix Schrödinger equations and interaction of matrix solitons (Q2780494)

The author considers the matrix Schrödinger operator \(L=-D^2 +U(x)\) with meromorphic \((d\times d)\)-matrix-valued potential \(U(x)\). The author assumes that \(x_0=0\) and that the Laurent expansion of \(U(x)\) in a neighborhood of 0 has the form \(U(x)= \sum_{\nu\geq-2} c_rx^r\). The author generalizes well-known results of Duistermaat and Grünbaum, who treated the scalar case.