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Long time stability of plane wave solutions to Schrödinger equation on Torus

Authors :
Peizhen Wang
Lufang Mi
Yingte Sun
Source :
Applicable Analysis. 101:2825-2859
Publication Year :
2020
Publisher :
Informa UK Limited, 2020.

Abstract

We prove the long time orbital stability of the plane wave solutions to the nonlinear Schrodinger equation (NLS) in the defocusing ( λ = 1 ) or focusing ( λ = − 1 ) case, i u t = − Δ u + λ | u | 2 ...

Subjects

Subjects :
Applied Mathematics
010102 general mathematics
Mathematics::Analysis of PDEs
Plane wave
Orbital stability
Torus
01 natural sciences
Stability (probability)
Schrödinger equation
010101 applied mathematics
symbols.namesake
symbols
0101 mathematics
Nonlinear Sciences::Pattern Formation and Solitons
Nonlinear Schrödinger equation
Analysis
Mathematical physics
Mathematics

Details

ISSN :
1563504X and 00036811
Volume :
101
Database :
OpenAIRE
Journal :
Applicable Analysis
Accession number :
edsair.doi...........fa34f5fd85d728c029fb7364f6e76db8
Full Text :
https://doi.org/10.1080/00036811.2020.1823375
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