2 papers
math.AP2025
Asymptotic stability of solitary waves for the 1D focusing cubic Schrödinger equation
Yongming Li
We establish the full asymptotic stability of solitary wave solutions for the 1D focusing cubic Schrödinger equation on the line under small perturbations in weighted Sobolev spac…
math.AP2024
Asymptotic stability of solitary waves for the 1D focusing cubic Schrödinger equation under even perturbations
Yongming Li, Jonas Luhrmann
We establish the full asymptotic stability of solitary waves for the focusing cubic Schrödinger equation on the line under small even perturbations in weighted Sobolev norms. The…