It is shown that there is a critical value of the Chern-Simons coupling parameter so that,
below the value, there exists self-dual doubly periodic vortex solutions, and, above the …

We construct a general type of multivortex solutions of the self-duality equations (the
Bogomol'nyi equations) of (2+ 1) dimensional relativistic Chern–Simons model with the non …

In this article, we construct self-dual N-vortex solutions with a large magnetic flux Φ of (2+ 1)-
dimensional relativistic Chern-Simons model, provided that the coupling constant κ is small …

We study the rxr system of nonlinear elliptic equations Δ u_a=-λ ∑ b= 1^ r K_ ab e^ u_b+ λ
∑ b= 1^ r ∑ c= 1^ re^ u_b K_ ab e^ u_c K_ bc+ 4 π ∑ j= 1^ N_a δ _ p_ aj, a= 1, 2,..., r, x∈ R …

Locally concentrated solutions in the Born–Infeld theory are presented. In particular,
existence and uniqueness theorems are established for multicentred magnetic string …

We prove the existence of topological vortices in a relativistic self-dual Abelian Chern–
Simons theory with two Higgs particles and two gauge fields through a study of a coupled …

Our interest for this class of equations has been largely motivated by the study of vortices in
various selfdual gauge field theories (see [JT, D1, D2, DJLPW, Y]), although in the …

We present topological and nontopological self-dual soliton solutions in an O (2) gauged O
(3) σ model on R 2 with Chern-Simons rather than Maxwell dynamics. These solutions are …

We construct multi-string solutions of the coupled Einstein and Abelian Higgs equations so
that the spacetime is uniform along the time axis and a vertical direction and nontrivial …

In this paper we investigate the existence of non-topological solutions of the Chern–Simons
Higgs model in R2. A long standing problem for this equation is: Given N vortex points and …