4 papers
Long-time asymptotics of a full arbitrary-genus dark soliton gas for the defocusing nonlinear Schrodinger equation
Dedi Yan, Xianguo Geng, Mingming Chen
We introduce a full arbitrary-genus dark soliton gas for the defocusing nonlinear Schrödinger equation with finite-density boundary conditions. Starting from a generalized meromor…
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…
Long-time Asymptotics of a Full Camassa-Holm Soliton Gas
Dedi Yan, Xianguo Geng, Minxin Jia
We investigate the long-time asymptotics of a full soliton gas for the Camassa--Holm equation. The analysis starts from a pure-soliton Riemann--Hilbert (RH) problem with \(2N\) pol…
Large-time asymptotics of a new KdV soliton gas
Dedi Yan, Xianguo Geng, Jiao Wei
We study the large-time asymptotic behavior of a new KdV soliton gas. We first introduce a pure-soliton Riemann--Hilbert(RH) problem with \(2N\) poles and two different types of re…