5 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…
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…
Large-space and Large-time Asymptotics for the Focusing Nonlinear Schrödinger Soliton Gas
Dedi Yan, Xianguo Geng, Wei Jiao
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…