Long-Time Asymptotics for the Combined Nonlinear Schrödinger and Gerdjikov-Ivanov Equation
In this paper, the combined nonlinear Schrödinger and Gerdjikov-Ivanov (NLS-GI) equation with the Schwartz initial data is investigated. It is shown that the solution of NLS-GI equation can be expressed in terms of the solution associated with a Riemann-Hilbert (RH) problem. The long-time asymptotics is further obtained via the Deift-Zhou nonlinear steepest descent method.
Authors
- G. Wang (ORCID: https://orcid.org/0000-0002-9615-4877)
- Fuzhuang Zheng
- Zhenyun Qin (ORCID: https://orcid.org/0000-0002-2169-8917)
Publication Details
- Journal
- East Asian Journal on Applied Mathematics
- Published
- 2024-11-27
- DOI
- https://doi.org/10.4208/eajam.2023-275.150124
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00