Stability of standing waves for the fractional Schrödinger–Choquard equation.

In this paper, we consider the stability of standing waves for the fractional Schrödinger–Choquard equation with an L 2 -critical nonlinearity. By using the profile decomposition of bounded sequences in H s and variational methods, we prove that the standing waves are orbitally stable. We extend the study of Bhattarai for a single equation (Bhattarai, 2017) to the L 2 -critical case. [ABSTRACT FROM AUTHOR]