Stability of standing waves for a generalized Choquard equation with potential

DOI10.1007/s10440-018-0162-5zbMath1409.35189OpenAlexW2793843322MaRDI QIDQ1731105

Zhipeng Cheng, Min-Bo Yang

Publication date: 20 March 2019

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-018-0162-5

zbMATH Keywords

stabilitystanding waveChoquard equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton solutions (35C08)

Related Items (5)

Instability of standing waves for the inhomogeneous Gross-Pitaevskii equation ⋮ Existence of stable standing waves for the nonlinear Schrödinger equation with inverse-power potential and combined power-type and Choquard-type nonlinearities ⋮ Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement ⋮ Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions ⋮ Orbital stability of standing waves for Schrödinger type equations with slowly decaying linear potential

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