Global Well‐Posedness for a Coupled Generalized KdV‐KdV System in Modulation Spaces and a Scattering Criterion in a Sobolev Space
ABSTRACT We consider the global well‐posedness in modulation spaces and scaling limit modulation spaces under smallness assumption on the initial data for the coupled generalized KdV‐KdV (gKdV) system. Moreover, we prove a scattering criterion for the system.
Authors
- Li Yang (ORCID: https://orcid.org/0000-0002-1656-7832)
- Qihe Niang
- Shanshan Zheng
Institutions
- Chongqing University (CN)
- Chongqing University of Science and Technology (CN)
Publication Details
- Journal
- Mathematical Methods in the Applied Sciences
- Published
- 2025-05-02
- DOI
- https://doi.org/10.1002/mma.11004
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Fundamental Research Funds for the Central Universities