TY - JOUR
T1 - Long-Time Asymptotics for the Combined Nonlinear Schrödinger and Gerdjikov-Ivanov Equation
AU - Zheng , Fuzhuang
AU - Qin , Zhenyun
AU - Mu , Gui
AU - Wang , Tingyou
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 163
EP - 184
PY - 2025
DA - 2025/01
SN - 15
DO - http://doi.org/10.4208/eajam.2023-275.150124
UR - https://global-sci.org/intro/article_detail/eajam/23745.html
KW - Combined nonlinear Schrödinger and Gerdjikov-Ivanov equation, Riemann-Hilbert problem, Deift-Zhou steepest descent method, long-time asymptotics.
AB - <p style="text-align: justify;">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.</p>