HIERARCHY OF SOLITON-SOLUTIONS TO THE GAUGED NONLINEAR SCHRODINGER-EQUATION ON THE PLANE

被引：28

作者：

GROSSMAN, B ^{[1
]}

机构：

[1] UNIV CALIF LAWRENCE LIVERMORE NATL LAB,LIVERMORE,CA 94550

来源：

PHYSICAL REVIEW LETTERS | 1990年 / 65卷 / 26期

关键词：

D O I：

10.1103/PhysRevLett.65.3230

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We find static, self-dual solutions to the SU(N) gauged, nonlinear Schrodinger equation in two spatial dimensions with scalar matter in the adjoint representation. The gauge field is determined dynamically by the Chern-Simons interaction with nonrelativistic scalar matter. The hierarchy is associated with the Toda hierarchy, which can be solved explicitly. The N = 2 case reduces to the Liouville equation found by Jackiw and Pi when looking at the nonlinear Schrodinger equation gauged by U(1).

引用

页码：3230 / 3232

页数：3

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