@Article{EAJAM-15-163, author = {Zheng , FuzhuangQin , ZhenyunMu , Gui and Wang , Tingyou}, title = {Long-Time Asymptotics for the Combined Nonlinear Schrödinger and Gerdjikov-Ivanov Equation}, journal = {East Asian Journal on Applied Mathematics}, year = {2025}, volume = {15}, number = {1}, pages = {163--184}, abstract = {

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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.2023-275.150124}, url = {http://global-sci.org/intro/article_detail/eajam/23745.html} }