Schrödinger flow and its applications in integrable systems (Q2752883)

The author shows that the nonlinear Schrödinger equation is gauge equivalent to the Schrödinger flow of maps from \(\mathbb R^1\) to \(S^2\) and \(H^2\), and the matrix nonlinear Schrödinger equation is gauge equivalent to the Schrödinger flow of maps from \(\mathbb R^1\) into a Grassmanian manifold in the unitary group \(U(m).\) According to the correspondence principle in quantum dynamics, the author also indicates the gauge equivalent structures for the discrete nonlinear Schrödinger equation and the discrete matrix nonlinear Schrödinger equation.NEWLINENEWLINEFor the entire collection see [Zbl 0960.00049].