In this paper we establish the existence of vortex solutions for a Chern–Simons–Higgs
model with gauge group SU (N)× U (1) and flavor SU (N). These symmetries ensure the …

We present a series of existence theorems for multiple vortex solutions in the Gudnason
model of the N= 2 supersymmetric field theory where non-Abelian gauge fields are …

Two sharp existence and uniqueness theorems are presented for solutions of multiple
vortices arising in a six-dimensional brane-world supersymmetric gauge field theory under …

Q-balls are non-topological solitons in a large family of field theories. We focus on the
existence of U (1) gauged Q-balls for a field theory with sixth-order potential. The problem …

It is well known that the presence of multiple constraints of non-Abelian relativisitic Chern–
Simons–Higgs vortex equations makes it difficult to develop an existence theory when the …

In a recent work Tong and Wong derived self-dual equations governing multiple vortices in a
product Abelian Higgs model which may be regarded as a generalized Ginzburg–Landau …

It is a well accepted principle that finite-energy static solutions in the classical relativistic
gauge field theory over the (2+ 1)-dimensional Minkowski spacetime must be electrically …

In this paper we study a general 2× 2 non-Abelian Chern–Simons–Higgs system of the form
Δ u i+ 1 ε 2 (∑ j= 1 2 K jieuj−∑ j= 1 2∑ k= 1 2 K kj K jieujeuk)= 4 π∑ j= 1 N i δ pij (x), i= 1, 2 …

In this paper we establish the existence of multi-vortices for a generalized self-dual Chern–
Simons model. Doubly periodic vortices, and topological and non-topological vortex …

We prove the existence of a continuous family of finite-energy particle-like solutions in the
coupled Georgi–Glashow–Skyrme model carrying both electric and magnetic charges …