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doi: 10.3934/dcds.2020316

## On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations

 1 Texas A & M University, College Station, TX, USA, Institute for Information Transmission Problems, Moscow, Russia 2 University of Trieste, Trieste 34127, Italy

* Corresponding author: Scipio Cuccagna

Received  July 2019 Revised  November 2019 Published  August 2020

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.

Citation: Andrew Comech, Scipio Cuccagna. On asymptotic stability of ground states of some systems of nonlinear Schrödinger equations. Discrete & Continuous Dynamical Systems - A, doi: 10.3934/dcds.2020316
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##### References:
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