One paramter family of solitons from minimal surfaces

Details One paramter family of solitons from minimal surfaces One paramter family of solitons from minimal surfaces

2012-04-26

arxiv.org/abs/1204.5875v1

Proceedings of Indian Academy of Sciences, 2012

Mathematics

Analysis of PDEs

Scientific paper

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.

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