Stability analysis of breathers for coupled nonlinear Schrodinger equations
Exactly Solvable and Integrable Systems
2024-11-14 v1 Mathematical Physics
Analysis of PDEs
Dynamical Systems
math.MP
Pattern Formation and Solitons
Abstract
We investigate the spectral stability of non-degenerate vector soliton solutions and the nonlinear stability of breather solutions for the coupled nonlinear Schrodinger (CNLS) equations. The non-degenerate vector solitons are spectrally stable despite the linearized operator admits either embedded or isolated eigenvalues of negative Krein signature. The nonlinear stability of breathers is obtained by the Lyapunov method with the help of the squared eigenfunctions due to integrability of the CNLS equations.
Keywords
Cite
@article{arxiv.2411.08787,
title = {Stability analysis of breathers for coupled nonlinear Schrodinger equations},
author = {Liming Ling and Dmitry E. Pelinovsky and Huajie Su},
journal= {arXiv preprint arXiv:2411.08787},
year = {2024}
}
Comments
59 pages