Document Type

Article

Publication Date

4-14-2016

Abstract

The harmonic map is introduced and several physical applications are presented. The classical nonlinear σ model can be looked at as the embedding of a two-dimensional surface in a threedimensional sphere, which is itself embedded in a four-dimensional space. A system of nonlinear evolution equations are obtained by working out the zero curvature condition for the Gauss equations relevant to this geometric formulation.

Comments

Copyright 2016, Paul Bracken, licensee AIMS Press.

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

AIMS Mathematics

DOI

10.3934/Math.2016.1.1

Included in

Mathematics Commons

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