New Results on Gevrey Well Posedness for the Schrödinger–Korteweg–De Vries System
In this work, we prove that the initial value problem for the Schrödinger–Korteweg–de Vries (SKdV) system is locally well posed in Gevrey spaces for s>−34 and k≥0. This advancement extends recent findings regarding the well posedness of this model within Sobolev spaces and investigates the regularity properties of its solutions.
Authors
- Abdelaziz Mennouni (ORCID: https://orcid.org/0000-0002-0791-5866)
- Ravi P. Agarwal (ORCID: https://orcid.org/0000-0003-0634-2370)
- Feriel Boudersa
Institutions
- Florida Institute of Technology (US)
- University of Batna 1 (DZ)
Publication Details
- Journal
- Mathematical and Computational Applications
- Published
- 2025-05-07
- DOI
- https://doi.org/10.3390/mca30030052
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00