@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}
}
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 -
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.
Zheng , FuzhuangQin , ZhenyunMu , Gui and Wang , Tingyou. (2025). Long-Time Asymptotics for the Combined Nonlinear Schrödinger and Gerdjikov-Ivanov Equation.
East Asian Journal on Applied Mathematics. 15 (1).
163-184.
doi:10.4208/eajam.2023-275.150124
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