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VOL. 17 | 2016 Surfaces From Deformation of Parameters
Süleyman Tek, Metin Gürses

Editor(s) Ivaïlo M. Mladenov, Guowu Meng, Akira Yoshioka

Abstract

We construct surfaces from modified Korteweg-de Vries (mKdV) and sine-Gordon (SG) soliton solutions by the use of parametric deformations. For each case there are two types of deformations. The first one gives surfaces on spheres and the second one gives highly complicated surfaces in three dimensional Euclidean space (${\mathbb R}^3$). The SG surfaces that we obtained are not the critical points of functional where the Lagrange function is a polynomial function of the Gaussian ($K$) and mean ($H$) curvatures of the surfaces. We also give the graph of interesting mKdV and SG surfaces arise from parametric deformations.

Information

Published: 1 January 2016
First available in Project Euclid: 15 December 2015

zbMATH: 1384.53004
MathSciNet: MR3445439

Digital Object Identifier: 10.7546/giq-17-2016-318-343

Rights: Copyright © 2016 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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