Spectral stability of multiple periodic waves for the Schrodinger system with cubic nonlinearity
Analysis of PDEs
2024-05-03 v2 Mathematical Physics
math.MP
Abstract
Results concerning the existence and spectral stability and instability of multiple periodic wave solutions for the nonlinear Schr\"odinger system with \textit{dnoidal} and \textit{cnoidal} profile will be determined in this manuscript. The spectral analysis for the corresponding linearized operator is established by using the comparison theorem and tools of Floquet theory. The main results are determined by applying the spectral stability theory in \cite{KapitulaKevrekidisSandstedeI} and \cite{KapitulaKevrekidisSandstedeII} via Krein signature.
Keywords
Cite
@article{arxiv.2212.07694,
title = {Spectral stability of multiple periodic waves for the Schrodinger system with cubic nonlinearity},
author = {Fábio Natali and Gabriel E. Bittencourt Moraes},
journal= {arXiv preprint arXiv:2212.07694},
year = {2024}
}
Comments
accepted: Dynamics of PDE