Symmetries, integrals, and three-dimensional reductions of Plebanski's second heavenly equation

被引：4
|
作者：
Neyzi, F. [1 ]
Sheftel, M. B.
Yazici, D.
机构：
[1] Bogazici Univ, Dept Phys, Istanbul, Turkey
[2] Yildiz Tech Univ, Dept Phys, Istanbul, Turkey
来源：
PHYSICS OF ATOMIC NUCLEI | 2007年 / 70卷 / 03期
关键词：
D O I：
10.1134/S1063778807030209
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We study symmetries and conservation laws for Plebanski's second heavenly equation written as a first-order nonlinear evolutionary system which admits a multi-Hamiltonian structure. We construct an optimal system of one-dimensional subalgebras and all inequivalent three-dimensional symmetry reductions of the original four-dimensional system. We consider these two-component evolutionary systems in three dimensions as natural candidates for integrable systems.
引用
收藏
页码：584 / 592
页数：9
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