One paramter family of solitons from minimal surfaces

TL;DR

This paper introduces a one-parameter family of complex Born-Infeld solitons derived from minimal surfaces, highlighting their invariance in energy and the role of Lorentz symmetry in this property.

Contribution

It presents a novel method to generate a continuous family of solitons from minimal surfaces, expanding the solution space of the Born-Infeld equation.

Findings

Energy invariance within the soliton family

Generation of new solutions from minimal surfaces

Lorentz symmetry explains energy invariance

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.