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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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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 -