A motion of spacelike curves in the Minkowski 3-space and the KdV equation

被引：17
|
作者：
Ding, Qing [1 ,2 ]
Wang, Wei [1 ,2 ]
Wang, Youde [3 ]
机构：
[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China
[2] Fudan Univ, Key Lab Math Nonlinear Sci, Shanghai 200433, Peoples R China
[3] Chinese Acad Sci, AMSS, Beijing 100190, Peoples R China
来源：
PHYSICS LETTERS A | 2010年 / 374卷 / 31-32期
基金：
中国国家自然科学基金;
关键词：
Moving curve; Uniqueness; Geometric interpretation; KdV equation;
D O I：
10.1016/j.physleta.2010.06.001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This Letter shows that soliton solutions to KdV equation describe a motion of spacelike curves in R-2.1 with initial data being suitably restricted. This gives a different geometric interpretation of KdV from that given recently by Musso and Nicolodi, and gives a unified geometric explanation for KdV and MKdV. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：3201 / 3205
页数：5
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