37 citations · 69 across the 3 of their papers we have counts for
3 papers
math-ph2009★ 37 cited
Adiabatic limit and the slow motion of vortices in a Chern-Simons-Schrödinger system
Sophia Demoulini, David Stuart
We study a nonlinear system of partial differential equations in which a complex field (the Higgs field) evolves according to a nonlinear Schroedinger equation, coupled to an elect…
math-ph2009★ 31 cited
Effective dynamics for solitons in the nonlinear Klein Gordon Maxwell system and the Lorentz force law
Eamonn Long, David Stuart
We consider the nonlinear Klein Gordon Maxwell system on four dimensional Minkowski space-time. For appropriate nonlinearities the system admits soliton solutions which are gauge i…
math-ph2007★ 1 cited
On Asymptotic Stability of Solitary Waves in a Nonlinear Schrödinger Equation
V. Buslaev, A. Komech, E. Kopylova +1
The long-time asymptotics is analyzed for finite energy solutions of the 1D Schrödinger equation coupled to a nonlinear oscillator. The coupled system is invariant with respect to…