We extend to a specific class of systems of nonlinear Schrödinger equations (NLS) the theory of asymptotic stability of ground states already proved for the scalar NLS. Here the key point is the choice of an adequate system of modulation coordinates and the novelty, compared to the scalar NLS, is the fact that the group of symmetries of the system is non-commutative.

中文翻译：

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非线性Schrödinger方程组基态的渐近稳定性。

我们将一类非线性Schrödinger方程（NLS）的系统扩展到已经为标量NLS证明的基态渐近稳定性理论。在这里，关键是选择合适的调制坐标系，与标量NLS相比，新颖性在于系统的对称性是不可交换的。