ON THE QUADRATIC BUNDLES RELATED TO HERMITIAN SYMMETRIC SPACES

被引：4

作者：

Valchev, Tihomir I. ^{[1
]}

机构：

[1] Dublin Inst Technol, Sch Math Sci, Dublin 8, Ireland

来源：

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2013年 / 29卷

关键词：

D O I：

10.7546/jgsp-29-2013-83-110

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Here we develop the direct scattering problem for quadratic bundles associated to Hermitian symmetric spaces. We adapt the dressing method for quadratic bundles which allows us to find special solutions to multicomponent derivative Schrodinger equation for instance. The latter is an infinite dimensional Hamiltonian system possessing infinite number of integrals of motion. We demonstrate how one can derive them by block diagonalization of the corresponding Lax pair.

引用

页码：83 / 110

页数：28

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