Journal of Nonlinear Mathematical Physics

Volume 9, Issue 3, August 2002, Pages 357 - 381

Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space

Authors
P. Bracken, A.M. Grundland
Corresponding Author
P. Bracken
Received 5 January 2002, Revised 2 February 2002, Accepted 15 April 2002, Available Online 1 August 2002.
DOI
10.2991/jnmp.2002.9.3.8How to use a DOI?
Abstract

Several classes of solutions of the generalized Weierstrass system, which induces costant mean curvature surfaces into four-dimensional Euclidean space are constructed. A gauge transformation allows us to simplify the system considered and derive fatorized classes of solutions. A reduction of the generalized Weierstrass system to decoupled CP1 sigma models is also considered. A new procedure for constructing certain classes of solutions, including elementary solutions (kinks and bumps) and multisoliton solutions is described in detail. The constant mean curvature surfaces asociated with different types of solutions are presented. Some physical interpretations of the results obtained in the area of string theory are given.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - 3
Pages
357 - 381
Publication Date
2002/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2002.9.3.8How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - P. Bracken
AU  - A.M. Grundland
PY  - 2002
DA  - 2002/08/01
TI  - Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space
JO  - Journal of Nonlinear Mathematical Physics
SP  - 357
EP  - 381
VL  - 9
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2002.9.3.8
DO  - 10.2991/jnmp.2002.9.3.8
ID  - Bracken2002
ER  -