2 papers
nlin.SI2026
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 e…
nlin.SI2026
Large-time asymptotics for the defocusing Manakov system on a nonzero background
Xianguo Geng, Haibing Zhang, Jiao Wei
The Manakov system is a two-component nonlinear Schrödinger equation. In this paper, we derive a long-time asymptotic formula for the solution of the defocusing Manakov system wit…