Publications (23)
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…
Riemann-Hilbert approach to the modified nonlinear Schröinger equation with non-vanishing asymptotic boundary conditions
Yiling Yang, Engui Fan
The modified nonlinear Schrödinger (NLS) equation was proposed to describe the nonlinear propagation of the Alfven waves and the femtosecond optical pulses in a nonlinear single-m…
Understanding the Timed Distributed Trace of a Partially Synchronous System at Runtime
Yiling Yang, Yu Huang, Jiannong Cao +1
It has gained broad attention to understand the timed distributed trace of a cyber-physical system at runtime, which is often achieved by verifying properties over the observed tra…
Long-time asymptotic behavior of a mixed schrödinger equation with weighted Sobolev initial data
Qiaoyuan Cheng, Yiling Yang, Engui Fan
We apply steepest descent method to obtain sharp asymptotics for a mixed schrödinger equation $$…
The Cauchy problem of the Camassa-Holm equation in a weighted Sobolev space: Long-time and Painlevé asymptotics
Kai Xu, Yiling Yang, Engui Fan
Based on the -generalization of the Deift-Zhou steepest descent method, we extend the long-time and Painlevé asymptotics for the Camassa-Holm (CH) equation to t…
A dense focusing Ablowitz-Ladik soliton gas and its asymptotics
Meisen Chen, Engui Fan, Zhaoyu Wang +2
In this paper, we propose a soliton gas solution for the focusing Ablowitz-Ladik system. This solution is defined as the large N limit of the N-soliton solution, and arises from a…
Design of a Sliding Window over Asynchronous Event Streams
Yiling Yang, Yu Huang, Jiannong Cao +2
The proliferation of sensing and monitoring applications motivates adoption of the event stream model of computation. Though sliding windows are widely used to facilitate effective…
On asymptotic approximation of the modified Camassa-Holm equation in different space-time solitonic regions
Yiling Yang, Engui Fan
In this paper, we study the long time asymptotic behavior for the initial value problem of the modified Camassa-Holm (mCH) equation in the solitonic region \begin{align} &m_{t}+\le…
Kimi K3: Open Frontier Intelligence
Kimi Team, Tongtong Bai, Yifan Bai +398
We introduce Kimi K3, a 2.8T parameter Mixture-of-Experts model with 104 billion activated parameters, native vision capabilities, and a 1-million-token context window. Kimi K3 is…
Long-time asymptotic behavior for the Novikov equation in solitonic regions of space time
Yiling Yang, Engui Fan
In this paper, we study the long time asymptotic behavior for the Cauchy problem of the Novikov equation with matrix spectral problem \begin{align} &u_{t}-u_{txx}+4 u_{…
Enabling Context-awareness by Predicate Detection in Asynchronous Pervasive Computing Environments
Yiling Yang, Yu Huang, Xiaoxing Ma +1
Pervasive applications are involving more and more autonomous computing and communicating devices, augmented with the abilities of sensing and controlling the logical / physical en…
Painlevé XXXIV asymptotics for the defocusing nonlinear Schrödinger equation with a finite-genus algebro-geometric background
Engui Fan, Gaozhan Li, Yiling Yang +1
In this paper, we consider the Cauchy problem for the defocusing nonlinear Schrdinger equation with a finite genus algebro-geometric background. Long-time asymptot…
On the asymptotic stability of -soliton solutions of the three-wave resonant interaction equation
Yiling Yang, Engui Fan
The three-wave resonant interaction (three-wave) equation not only possesses matrix spectral problem, but also being absence of stationary phase points, which give rise…
On the global existence for the modified Camassa-Holm equation via the inverse scattering method
Yiling Yang, Engui Fan, Yue Liu
In this paper, we address the existence of global solutions to the Cauchy problem of the modified Camassa-Holm (mCH) equation, which is known as a model for the unidirectional prop…
BRIGHT: A Collaborative Generalist-Specialist Foundation Model for Breast Pathology
Xiaojing Guo, Jiatai Lin, Yumian Jia +39
Generalist pathology foundation models (PFMs), pretrained on large-scale multi-organ datasets, have demonstrated remarkable predictive capabilities across diverse clinical applicat…
Orbital Stability of Soliton for the Derivative Nonlinear Schrödinger Equation in the Space
Yiling Yang, Engui Fan, Yue Liu
In this paper, we establish the orbital stability of the 1-soliton solution for the derivative nonlinear Schrödinger equation under perturbations in . We demonstr…
On the long-time asymptotics of the modified Camassa-Holm equation with step-like initial data
Yiling Yang, Gaozhan Li, Engui Fan
We study the long time asymptotic behavior for the Cauchy problem of the modified Camassa-Holm (mCH) equation with step-like initial data \begin{align} &m_{t}+\left(m\left(u^{2}-u_…
Long time asymptotic behavior for the derivative Schrödinger equation with nonzero boundary conditions
Yiling Yang, Qiaoyuan Cheng, Engui Fan
In this paper, we apply steepest descent method to study the Cauchy problem for the derivative nonlinear Schrödinger equation with nonzero boundary conditions…
Existence of global solutions for the modified Camassa-Holm equation with a nonzero background
Yiling Yang, Engui Fan, Yue Liu
Consideration in the present paper is the existence of global solutions for the modified Camassa-Holm (mCH) equation with a nonzero background initial value. The mCH equation is co…
Long-time asymptotic behavior of the modified Schrödinger equation via Dbar-steepest descent method
Yiling Yang, Engui Fan
In this paper, we consider the Cauchy problem for the modified NLS equation. Using nonlinear steepest descent method and combining the Dbar-analysis, we show that inside any fixed…
Long time asymptotic behavior for the nonlocal nonlinear Schrödinger equation with weighted Sobolev initial data
Gaozhan Li, Yiling Yang, Engui Fan
In this paper, we extend steepest descent method to study the Cauchy problem for the nonlocal nonlinear Schrödinger (NNLS) equation with weighted Sobolev initi…
Soliton Resolution for the Short-pluse Equation
Yiling Yang, Engui Fan
In this paper, we study the Cauchy problem for the focusing nonlinear short-pluse equation by using steepest descent method. \begin{align} &u_{xt}=u+\frac{1}{6}…
Riemann-Hilbert approach to the Algebro-Geometric solution of the modified Camassa-Holm equation with linear dispersion term
Engui Fan, Gaozhan Li, Yiling Yang
This paper aims at providing an exact algebro-geometric solution of the modified Camassa-Holm (mCH) equation derived from hyperelliptic curves in genus. To achieve this…