1 citations · 1 across the 6 of their papers we have counts for
6 papers
Tritronquée Painlevé II asymptotics for the focusing nonlinear Schrödinger equation with nonzero boundary conditions
Haibing Zhang, Xianguo Geng, Kedong Wang
We study the long-time asymptotics of the focusing nonlinear Schrödinger equation with nonzero boundary conditions in the transition regions between the plane-wave and modulated el…
Large-space and Large-time Asymptotics for the Focusing Nonlinear Schrödinger Soliton Gas
Dedi Yan, Xianguo Geng, Wei Jiao +1
We investigate the large-space and large-time asymptotic behavior of a soliton gas for the focusing nonlinear Schrödinger equation. The soliton gas is constructed as the continuum…
Large-space and large-time asymptotics for the mKdV soliton gas with any odd genus
Dedi Yan, Xianguo Geng, Kedong Wang
We study the large-space and large-time asymptotic behavior of the soliton gas of genus for the mKdV equation with . As , we show that the…
Painlevé-type asymptotics for the defocusing Manakov system with nonzero boundary conditions
Haibing Zhang, Xianguo Geng, Ruomeng Li +1
We investigate the long-time asymptotic behavior of a class of solutions to the defocusing Manakov system under nonzero boundary conditions. These solutions are characterized by a…
Multiple higher-order poles solutions in spinor Bose-Einstein condensates
Huan Liu, Jing Shen, Xianguo Geng
In this study, we explore multiple higher-order pole solutions in spinor Bose--Einstein condensates. These solutions are associated with different pairs of higher-order poles of th…
Riemann--Hilbert method to the Ablowitz--Ladik equation: higher-order case
Huan Liu, Jing Shen, Xianguo Geng
We focused on the Ablowitz--Ladik equation on a zero background, specifically considering the scenario of pairs of multiple poles. Our first goal was to establish a mapping bet…