13 citations · 42 across the 8 of their papers we have counts for
8 papers
Moment generating function of the tacnode process
Taiyang Xu
The tacnode process is a universal determinantal point process arising in non-intersecting particle systems and random tiling models. In this paper, we study the generating functio…
Confluent hypergeometric kernel determinant on multiple large intervals
Taiyang Xu, Lun Zhang, Zhengyang Zhao
The confluent hypergeometric point process represents a universality class which arises in a variety of different but related areas. It particularly describes the local statistics…
Transient asymptotics of the modified Camassa-Holm equation
Taiyang Xu, Yiling Yang, Lun Zhang
We investigate long time asymptotics of the modified Camassa-Holm equation in three transition zones under a nonzero background. The first transition zone lies between the soliton…
Painlevé transcendents in the defocusing mKdV equation with non-zero boundary conditions
Zhaoyu Wang, Taiyang Xu, Engui Fan
We consider the Cauchy problem for the defocusing modified Korteweg-de Vries (mKdV) equation with non-zero boundary conditions \begin{align} &q_t(x,t)-6q^2(x,t)q_{x}(x,t)+q_{xxx}(x…
Large-time asymptotics to the focusing nonlocal modified Kortweg-de Vries equation with step-like boundary conditions
Taiyang Xu, Engui Fan
We investigate the large-time asymptotics of solution for the Cauchy problem of the nonlocal focusing modified Kortweg-de Vries (MKdV) equation with step-like initial data, i.e., $…
On the large-time asymptotics of the defocusing mKdV equation with step-like initial data
Taiyang Xu, Yidan Zhang
We study the Cauchy problem for the defocusing modified Korteweg-de Vries (mKdV) equation with step-like initial data approaching nonzero constants and as $x \to -\inft…
On the Cauchy problem of defocusing mKdV equation with finite density initial data: long time asymptotics in soliton-less regions
Taiyang Xu, Zechuan Zhang, Engui Fan
We investigate the long-time asymptotics for the solutions to the Cauchy problem of defocusing modified Kortweg-de Vries (mKdV) equation with finite density initial data. The prese…
Soliton resolution and asymptotic stability of -soliton solutions for the defocusing mKdV equation with a non-vanishing background
Zechuan Zhang, Taiyang Xu, Engui Fan
We analytically study the large-time asymptotics of the solution of the defocusing modified Korteweg-de Vries (mKdV) equation under a symmetric non-vanishing background, which supp…