One-parameter family of solitons from minimal surfaces

被引：2

作者：

Dey, Rukmini ^{[1
]}

Kumar, Pradip ^{[1
]}

机构：

[1] Harish Chandra Res Inst, Sch Math, Allahabad 211019, Uttar Pradesh, India

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2013年 / 123卷 / 01期

关键词：

Minimal surfaces; Born-Infeld solitons;

D O I：

10.1007/s12044-013-0115-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：55 / 65

页数：11

共 5 条

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Dey, R .

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[2]

Do Carmo M.P., 2016, Differential Geometry of Curves and Surfaces: Revised and Updated, V2nd

[3]

Nitsche J. C. C., 1989, LECT MINIMAL SURFACE, V1

[4]

Osserman R., 1986, A Survey on Minimal Surfaces

[5]

Whitham GB., 1999, LINEAR NONLINEAR WAV, P485, DOI [10.1002/9781118032954, DOI 10.1002/9781118032954]

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