Volume 6, Issue 3, August 1995, Pages 294 - 313
On Certain Classes of Solutions of the Weierstrass-Enneper System Inducing Constant Mean Curvature Surfaces
P. BRACKEN, A. M. GRUNDLAND
Available Online 1 August 1995.
- https://doi.org/10.2991/jnmp.19184.108.40.206How to use a DOI?
- Analysis of the generalized Weierstrass-Enneper system includes the estimation of the degree of indeterminancy of the general analytic solution and the discussion of the boundary value problem. Several different procedures for constructing certain classes of solutions to this system, including potential, harmonic and separable types of solutions, are proposed. A technique for reduction of the Weierstrass-Enneper system to decoupled linear equations, by subjecting it to certain differential constraints, is presented as well. New elementary and doubly periodic solutions are found, among them kinks, bumps and multi-soliton solutions.
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Cite this article
TY - JOUR AU - P. BRACKEN AU - A. M. GRUNDLAND PY - 1995 DA - 1995/08 TI - On Certain Classes of Solutions of the Weierstrass-Enneper System Inducing Constant Mean Curvature Surfaces JO - Journal of Nonlinear Mathematical Physics SP - 294 EP - 313 VL - 6 IS - 3 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.19220.127.116.11 DO - https://doi.org/10.2991/jnmp.1918.104.22.168 ID - BRACKEN1995 ER -