A motion of spacelike curves in the Minkowski 3-space and the KdV equation
A motion of spacelike curves in the Minkowski 3-space and the KdV equation
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Minkowski 3 空间中的类空曲线运动和 KdV 方程
DOI：
10.1016/j.physleta.2010.06.001
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发表时间：
2010-07-12
影响因子：
2.6
通讯作者：
Wang, Youde
中科院分区：
文献类型：
--
作者：
Ding, Qing;Wang, Wei;Wang, Youde
本文指出，KdV方程的孤子解描述了R ~（-2.1）中类空曲线的运动，初始数据受到适当的限制。这给出了与最近由穆索和Nicolodi给出的KdV不同的几何解释，并且给出了KdV和MKdV的统一的几何解释。(C)2010 Elsevier B. V.保留所有权利。
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.