Stability of standing waves for the fractional Schrödinger–Choquard equation

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 L2-critical nonlinearity. By using the profile decomposition of bounded sequences in Hs and variational methods, we prove that the standing waves are orbitally stable. We extend the st...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2018-04, Vol.75 (7), p.2499-2507
Hauptverfasser: Feng, Binhua, Zhang, Honghong
Format: Artikel
Sprache:eng
Schlagworte:
[formula omitted]-critical nonlinearity
Decomposition
Fractional Schrödinger-Choquard equation
Nonlinear systems
Orbital stability of standing waves
Schrodinger equation
Stability
Standing waves
Variational methods
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Zusammenfassung:In this paper, we consider the stability of standing waves for the fractional Schrödinger–Choquard equation with an L2-critical nonlinearity. By using the profile decomposition of bounded sequences in Hs 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 L2-critical case.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2017.12.025