One paramter family of solitons from minimal surfaces
Analysis of PDEs
2013-05-07 v2 High Energy Physics - Theory
Differential Geometry
Abstract
In this paper, we discuss a one parameter family of complex Born-Infeld solitons arising from a one parameter family of minimal surfaces. The process enables us to generate a new solution of the B-I equation from a given complex solution of a special type (which are abundant). We illustrate this with many examples. We find that the action or the energy of this family of solitons remains invariant in this family and find that the well-known Lorentz symmetry of the B-I equations is responsible for it.
Keywords
Cite
@article{arxiv.1204.5875,
title = {One paramter family of solitons from minimal surfaces},
author = {Rukmini Dey and Pradip Kumar},
journal= {arXiv preprint arXiv:1204.5875},
year = {2013}
}