Soliton dynamics for the Schrodinger-Newton system
Pietro d'Avenia, Marco Squassina
TL;DR
This paper studies the behavior of solitons in the Schrödinger-Newton system, establishing stability estimates that help understand their dynamics.
Contribution
It provides the first modulational stability estimates for solitons in the nonlocal Schrödinger-Newton system, extending Weinstein's methods.
Findings
Proves stability estimates for solitons in the Schrödinger-Newton system.
Demonstrates the applicability of Weinstein's techniques to nonlocal equations.
Enhances understanding of soliton dynamics in nonlocal quantum systems.
Abstract
We investigate the soliton dynamics for the Schrodinger-Newton system by proving a suitable modulational stability estimates in the spirit of those obtained by Weinstein for local equations.
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