Motion of curves in hyperboloid in the Minkowski space

被引：45

作者：

Nakayama, K ^{[1
]}

机构：

[1] Shinshu Univ, Fac Sci, Dept Math Sci, Matsumoto, Nagano 3908621, Japan

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1998年 / 67卷 / 09期

关键词：

AKNS inverse scattering scheme; the Nonlinear Schrodinger equation of defocusing type; Minkowski space; motion of curves;

D O I：

10.1143/JPSJ.67.3031

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A formulation on the motion of curves in hyperboloids in the 4-dimensional Minkowski space is presented. It includes many equations integrable by means of the (1 + 1)-dimensional AKNS inverse scattering scheme. Examples are: the Nonlinear Schrodinger equation of defocusing type, the KdV equation, the Regge-Lund equation and its hyperbolic type.

引用

页码：3031 / 3037

页数：7

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