3 papers
math.AP2026
Well-posedness for the -problem relevant to the AKNS spectral problem
Junyi Zhu, Huan Liu
The well-posedness for the Dbar problem associated with the AKNS spectral problem is considered. In general, the relevant Dbar equation with normalization condition is quivalent to…
nlin.SI2026
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…
nlin.SI2024
Inverse Scattering Transform for the Massive Thirring Model: Delving into Higher-Order Pole Dynamics
Dongli Luan, Bo Xue, Huan Liu
We investigate the inverse scattering problem for the massive Thirring model, focusing particularly on cases where the transmission coefficient exhibits pairs of higher-order p…