Article ID Journal Published Year Pages File Type
4611254 Journal of Differential Equations 2011 25 Pages PDF
Abstract

We consider the vortex motion laws governed by the nonlinear Klein–Gordon equation. Three limits are determined when the light speed c→∞ and ϵ→0. It is shown that the vortex motion law governed by the nonlinear Klein–Gordon equation is an intermediate state that connects both the Kirchhoffʼs law for the Schrödinger equation and the vortex motion law for the wave equation.

Related Topics
Physical Sciences and Engineering Mathematics Analysis