148 citations · 163 across the 12 of their papers we have counts for
12 papers
Complex excitations for the derivative nonlinear Schrödinger equation
Huijuan Zhou, Yong Chen, XiaoYan Tang +1
The Darboux transformation (DT) formulae for the derivative nonlinear Schrödinger (DNLS) equation are expressed in concise forms, from which the multi-solitons, n-periodic solution…
Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations
Estelle Basor, Torsten Ehrhardt, Roozbeh Gharakhloo +2
We prove the analogue of the strong Szeg{\H o} limit theorem for a large class of bordered Toeplitz determinants. In particular, by applying our results to the formula of Au-Yang a…
Smooth Solutions of the tt* Equation: A Numerical Aided Case Study
Yuqi Li
An important special class of the tt* equations are the tt*-Toda equations. Guest et al. have given comprehensive studies on the tt*-Toda equations in a series of papers. The fine…
On the Open Question of The Tracy-Widom Distribution of β-Ensemble With β=6
Yuqi Li
We determine completely the Tracy-Widom distribution for Dyson's β-ensemble with β=6. The problem of the Tracy-Widom distribution of β-ensemble for general β>0 has been reduced to…
Chaoticons described by nonlocal nonlinear Schrodinger equation
Lanhua Zhong, Yuqi Li, Yong Chen +3
It is shown that the unstable evolutions of the Hermite-Gauss-type stationary solutions for the nonlocal nonlinear Schrodinger equation with the exponential-decay response function…
The construction of two-dimensional optimal systems for the invariant solutions
Xiaorui Hu, Yuqi Li, Yong Chen
To search for inequivalent group invariant solutions, a general and systematic approach is established to construct two-dimensional optimal systems, which is based on commutator re…
A direct algorithm of one-dimensional optimal system for the group invariant solutions
Xiaorui Hu, Yuqi Li, Yong Chen
A direct and systematic algorithm is proposed to find one-dimensional optimal system for the group invariant solutions, which is attributed to the classification of its correspondi…
A new integrable discrete generalized nonlinear Schrodinger equation and its reductions
Hongmin Li, Yuqi Li, Yong Chen
A new integrable discrete system is constructed and studied, based on the algebraization of the difference operator. The model is named the discrete generalized nonlinear Schroding…
Generalized Darboux transformation and localized waves in coupled Hirota equations
Xin Wang, Yuqi Li, Yong Chen
In this paper, we construct a generalized Darboux transformation to the coupled Hirota equations with high-order nonlinear effects like the third dispersion, self-steepening and in…
Some Numerical Results For Ito Equation
YuQi Li, Biao Li
By the method of invariant manifold, we investigate the Ito equation numerically with high precision. By the numerical results, we can completely determine the form of analytic sol…
From nothing to something: discrete integrable systems
S Y Lou, Yu-qi Li, Xiao-yan Tang
Chinese ancient sage Laozi said that everything comes from `nothing'. Einstein believes the principle of nature is simple. Quantum physics proves that the world is discrete. And co…
Constraints and Soliton Solutions for the KdV Hierarchy and AKNS Hierarchy
NianHua Li, YuQi Li
It is well-known that the finite-gap solutions of the KdV equation can be generated by its recursion operator.We generalize the result to a special form of Lax pair, from which a m…