Strong instability of standing waves for a system NLS with quadratic interaction
Van Duong Dinh
TL;DR
This paper investigates the conditions under which standing waves in a quadratic-interaction nonlinear Schrödinger system become strongly unstable in five-dimensional space.
Contribution
It establishes the strong instability of standing waves for a specific quadratic-interaction NLS system under mass resonance in five dimensions.
Findings
Standing waves are strongly unstable under certain conditions.
The analysis is specific to the five-dimensional case.
Results contribute to understanding the stability of multi-component NLS systems.
Abstract
We study the strong instability of standing waves for a system of nonlinear Schr\"odinger equations with quadratic interaction under the mass resonance condition in dimension .
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.