Vortex structures for Klein-Gordon equation with Ginzburg-Landau nonlinearity

Jun Yang

doi:10.3934/dcds.2014.34.2359

Article Contents

2014, Volume 34, Issue 5: 2359-2388. Doi: 10.3934/dcds.2014.34.2359

This issue Previous Article Solutions with clustered bubbles and a boundary layer of an elliptic problem Next Article On the well-posedness of Maxwell-Chern-Simons-Higgs system in the Lorenz gauge

Vortex structures for Klein-Gordon equation with Ginzburg-Landau nonlinearity

Jun Yang^1,

1.
School of Mathematics and Statistics, Central China Normal University, Wuhan 430079

Received: January 31, 2013

Revised: July 31, 2013

Published: April 2014

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Abstract

By a perturbation approach, we construct traveling solitary solutions with various vortex structures(vortex pairs, vortex rings) for Klein-Gordon equation with Ginzburg-Landau nonlinearities.

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Mathematics Subject Classification: Primary: 35J25, 35J20; Secondary: 35B06, 35B40.

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References

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