Geometric solitons with vortex structures for some geometric flows from Minkowski spaces: part I

Abstract

By a perturbation approach, we construct geometric solitons with various vortex structures(vortex pairs, vortex rings) for some geometric flows(Wave maps, Shrödinger flows) from Minkowski spaces to ${\mathbb{S}}^2\subset {\mathbb{R}}^3$.

arXiv admin note: text overlap with arXiv:nlin/0611002 by other authors