One-Parameter Family of Solitons from Minimal Surfaces

Proceedings Mathematical Sciences

Rukmini Dey²  Pradip Kumar¹ 

[1] $$;School of Mathematics, Harish Chandra Research Institute, Allahabad 0, India$$

关键词: Minimal surfaces;    Born–Infeld solitons.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown