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20052023
most citedClassification and nondegeneracy of Toda system with singular sources

97 citations · 579 across the 69 of their papers we have counts for

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Showing 2013Show all

10 papers · 1 filter

math.DG2013★ 2 cited

Isomonodromy aspects of the tt* equations of Cecotti and Vafa II. Riemann-Hilbert problem

Martin A. Guest, Alexander R. Its, Chang-Shou Lin

In Part I (arXiv:1209.2045) we computed the Stokes data, though not the "connection matrix", for the smooth solutions of the tt*-Toda equations whose existence we established by p.…

math.AP2013★ 2 cited

Segregated Vector Solutions for linearly coupled Nonlinear Schrödinger Systems

Chang-Shou Lin, Shuangjie Peng

We consider the following system linearly coupled by nonlinear Schrödinger equations in $$ \left\{\begin{array}{ll} -Δu_j+u_j=u^3_j-\va\sum\limits_{i\neq j}^N u_i,\{1cm}& x\…

math.AP2013★ 1 cited

Local profile of fully bubbling solutions to SU(n+1) Toda Systems

Chang-Shou Lin, Juncheng Wei, Lei Zhang

In this article we prove that for locally defined singular SU(n+1) Toda systems in R^2, the profile of fully bubbling solutions near the singular source can be accurately approxima…

math.AP2013★ 37 cited

Chern--Simons Vortices in the Gudnason Model

Xiaosen Han, Chang-Shou Lin, Gabriella Tarantello +1

We present a series of existence theorems for multiple vortex solutions in the Gudnason model of the supersymmetric field theory where non-Abelian gauge fields are gov…

math.AP2013★ 18 cited

On the Entire Radial Solutions of the Chern-Simons SU(3) System

Hsin-Yuan Huang, Chang-Shou Lin

In this paper, we study the entire radial solutions of the self-dual equations arising from the relativistic SU(3) Chern-Simons model proposed by Kao-Lee and Dunne. Understanding t…

math.AP2013★ 1 cited

Multiple sign-changing and semi-nodal solutions for coupled Schrodinger equations

Zhijie Chen, Chang-Shou Lin, Wenming Zou

We study the following coupled Schrödinger equations which have appeared as several models from mathematical physics: \begin{displaymath} \begin{cases}-Δu_1 +\la_1 u_1 = μ_1 u_1^3+…