Open Access
2013 On the Quadratic Bundles Related to Hermitian Symmetric Spaces
Tihomir I. Valchev
J. Geom. Symmetry Phys. 29: 83-110 (2013). DOI: 10.7546/jgsp-29-2013-83-110


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 Schrödinger 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.


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Tihomir I. Valchev. "On the Quadratic Bundles Related to Hermitian Symmetric Spaces." J. Geom. Symmetry Phys. 29 83 - 110, 2013.


Published: 2013
First available in Project Euclid: 26 May 2017

zbMATH: 1312.37046
MathSciNet: MR3113880
Digital Object Identifier: 10.7546/jgsp-29-2013-83-110

Rights: Copyright © 2013 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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