1 citations · 2 across the 6 of their papers we have counts for
6 papers
Rational solutions for algebraic solitons in the massive Thirring model
Zhen Zhao, Cheng He, Baofeng Feng +1
An algebraic soliton of the massive Thirring model (MTM) is expressed by the simplest rational solution of the MTM with the spatial decay of . The correspondin…
Liouville theorems for harmonic 1-forms on gradient Ricci solitons
Chenghong He, Di Wu, Xi Zhang
We prove that there is no nontrivial -integrable harmonic 1-form on noncompact complete gradient steady Ricci solitons or noncompact complete gradient shrinking Kähler-Ricci s…
Algebraic solitons in the massive Thirring model
Jiaqi Han, Cheng He, Dmitry E. Pelinovsky
We present exact solutions describing dynamics of two algebraic solitons in the massive Thirring model. Each algebraic soliton corresponds to a simple embedded eigenvalue in the Ka…
Orbital stability of two-component peakons
Cheng He, Xiaochuan Liu, Changzheng Qu
We prove that the two-component peakon solutions are orbitally stable in the energy space. The system concerned here is a two-component Novikov system, which is an integrable multi…
A Note on Asymptotic Behaviors Of Solutions To Quasilinear Elliptic Equations with Hardy Potential
Cheng-Jun He, Chang-Lin Xiang
Optimal estimates on asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations \begin{eqnarray*} -Δ…
A Note on Asymptotic Behaviors Of Solutions To Quasilinear Elliptic Equations with Hardy Potential
Cheng-Jun He, Chang-Lin Xiang
Optimal estimates on asymptotic behaviors of weak solutions both at the origin and at the infinity are obtained to the following quasilinear elliptic equations \begin{eqnarray*} -Δ…