mKdV Surfaces
| dc.creator | Tek, Suleyman | |
| dc.date | 2006-12-25 | |
| dc.date | 2007-02-26 | |
| dc.date.accessioned | 2026-07-07T11:23:46Z | |
| dc.date.available | 2026-07-07T11:23:46Z | |
| dc.description | In this work, we consider 2-surfaces in ${\mathbb R}^3$ arising from the modified Korteweg de Vries (mKdV) equation. We give a method for constructing the position vector of the mKdV surface explicitly for a given solution of the mKdV equation. mKdV surfaces contain Willmore-like and Weingarten surfaces. We show that some mKdV surfaces can be obtained from a variational principle where the Lagrange function is a polynomial of the Gaussian and mean curvatures. | |
| dc.description | 24 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0612076 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0612076 | |
| dc.identifier | J.Math.Phys.48:013505,2007 | |
| dc.identifier | doi:10.1063/1.2409523 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/195005 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.title | mKdV Surfaces | |
| dc.type | text |