Year: 2025
Author: Fuzhuang Zheng, Zhenyun Qin, Gui Mu, Tingyou Wang
East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.2023-275.150124
East Asian Journal on Applied Mathematics, Vol. 15 (2025), Iss. 1 : pp. 163–184
Published online: 2025-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 22
Keywords: Combined nonlinear Schrödinger and Gerdjikov-Ivanov equation Riemann-Hilbert problem Deift-Zhou steepest descent method long-time asymptotics.