Spectral stability and time evolution of N-solitons in the KdV hierarchy

被引:11
|
作者
Kodama, Y
Pelinovsky, D
机构
[1] Ohio State Univ, Dept Math, Columbus, OH 43210 USA
[2] McMaster Univ, Dept Math, Hamilton, ON L8S 4K1, Canada
来源
关键词
D O I
10.1088/0305-4470/38/27/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper concerns spectral stability and time evolution of N-solitons in the Korteweg-de Vries (KdV) hierarchy with mixed commuting time flows. Spectral stability problem is analysed by using a pair of self-adjoint operators with finite numbers of negative eigenvalues. We show that the absence of unstable eigenvalues in the stability problem is related to the absence of negative eigenvalues of these operators in the constrained function spaces. Time evolution of N-solitons is uniquely characterized from the inverse scattering transform technique.
引用
收藏
页码:6129 / 6140
页数:12
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