SYMMETRIES OF A (2+1)-DIMENSIONAL BREAKING SOLITON EQUATION

被引：61
|
作者：
LI, YS
ZHANG, YJ
机构：
[1] Dept. of Math., Univ. of Sci. and Technol. of China, Hefei
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1993年 / 26卷 / 24期
关键词：
D O I：
10.1088/0305-4470/26/24/021
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Infinitely many symmetries for a (2 + 1)-dimensional breaking soliton equation are constructed via the infinitesimal version of the 'dressing' method. These symmetries are proved to constitute an infinite-dimensional Lie algebra which contains some Abelian and Virasoro subalgebras. The hierarchies of equations generated by these symmetries are also considered: these hierarchies of equations are proved to be associated with the isospectral and non-isospectral deformations of the AKNS spectral problem.
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页码：7487 / 7494
页数：8
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