On the stability of the dnoidal waves for the Schrödinger-KdV system
- 8 January 2025
- journal article
- research article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 153 (2) , 715-725
Abstract
We study the periodic Schrödinger-Korteweg de Vries system. We describe the two-parametetric family of 2 T 2T 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 T → ∞ T\to \infty , we recover the results of Chen, [J. Partial Differential Equations 12 (1999), pp. 11–25] for the stability of the soliton solutions of this system on the real line.Keywords
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Funding Information
- National Science Foundation (2204788)
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