37 citations · 174 across the 19 of their papers we have counts for
7 papers · 1 filter
Vortex Solutions for A Mixed Boundary-Value Problem in the Abelian-Higgs Model with A Neutral Scalar Field
Guange Su, Xiaosen Han
Vortices represent a class of topological solitons arising in gauge theories coupled with complex scalar fields, holding significant importance across various domains of modern phy…
Existence of global vortices in a class of Ginzburg-Landau models
Xiaosen Han, Kexin Zhang
In this paper, the two-component Ginzburg-Landau (TCGL) model, which is an important research object in mathematics and physics of two scalar fields with symmetry…
Multiple Solutions for the Non-Abelian Chern--Simons--Higgs Vortex Equations
Xiaosen Han, Gabriella Tarantello
In this paper we study the existence of multiple solutions for the non-Abelian Chern--Simons--Higgs -system: \[ Δu_i=λ\left(\sum_{j=1}^N\sum_{k=1}^N K_{kj}K_{ji}\re^{u…
Non-topological Vortex Configurations in the ABJM Model
Xiaosen Han, Gabriella Tarantello
In this paper we study the existence of vortex-type solutions for a system of self-dual equations deduced from the mass-deformed Aharony--Bergman--Jafferis--Maldacena (ABJM) model.…
Relativistic Chern--Simons--Higgs Vortex Equations
Xiaosen Han, Yisong Yang
An existence theorem is established for the solutions to the non-Abelian relativistic Chern--Simons--Higgs vortex equations over a doubly periodic domain when the gauge group a…
Existence theorems for non-Abelian Chern--Simons--Higgs vortices with flavor
Shouxin Chen, Xiaosen Han, Gustavo Lozano +1
In this paper we establish the existence of vortex solutions for a Chern--Simons--Higgs model with gauge group and flavor SU(N), these symmetries ensuring the e…
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…