On the stability of the dnoidal waves for the Schr\"odinger-KdV system
Analysis of PDEs
2023-10-10 v1
Abstract
We study the periodic Schr\"odinger-Korteweg de Vries system. We describe the two-parametetric family of periodic traveling waves of dnoidal type. The main objective of the paper is to establish their spectral stability with respect to co-periodic perturbations. In the limit , we recover the results of Albert-Angulo, for the stability of the soliton solutions of this system on the real line.
Keywords
Cite
@article{arxiv.2310.05888,
title = {On the stability of the dnoidal waves for the Schr\"odinger-KdV system},
author = {Sevdzhan Hakkaev and Atanas G. Stefanov},
journal= {arXiv preprint arXiv:2310.05888},
year = {2023}
}