Modified Korteweg-de Vries surfaces

被引：10
|
作者：
Tek, Suleyman [1 ]
机构：
[1] Bilkent Univ, Fac Sci, Dept Math, TR-06800 Ankara, Turkey
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 48卷 / 01期
关键词：
SOLITON SURFACES; LIE-ALGEBRAS; GEOMETRY;
D O I：
10.1063/1.2409523
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, we consider 2-surfaces in 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. (c) 2007 American Institute of Physics.
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页数：17
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