Scattering for the dispersion managed nonlinear Schrödinger equation
We consider the dispersion managed nonlinear Schrödinger equations with quintic and cubic nonlinearities in one and two dimensions, respectively. We prove the global well-posedness and scattering in $L_x^2$ for small initial data employing the $U^p$ and $V^p$ spaces.
Authors
- Kiyeon Lee (ORCID: https://orcid.org/0000-0002-3488-8816)
- Mi-Ran Choi (ORCID: https://orcid.org/0000-0002-6252-3443)
- Young-Ran Lee (ORCID: https://orcid.org/0000-0001-6813-9058)
Publication Details
- Journal
- Differential and Integral Equations
- Published
- 2025-06-27
- DOI
- https://doi.org/10.57262/die038-0910-555
- Citations
- 2
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 7.38