Document Type
Conference Paper
Rights
This item is available under a Creative Commons License for non-commercial use only
Disciplines
Applied mathematics
Abstract
We consider quadratic bundles related to Hermitian symmetric spaces of the type SU(m+n)/S(U(m)\times U(n)). We discuss the spectral properties of scattering operator, develop the direct scattering problem associated with it and stress on the effect of reduction on these. By applying a modification of Zakharov-Shabat's dressing procedure we demonstrate how one can obtain reflectionless potentials. That way one is able to generate soliton solutions to the nonlinear evolution equations belonging to the integrable hierarchy associated with quadratic bundles under study.
DOI
https://doi.org/10.1088/1742-6596/482/1/012044
Recommended Citation
Valchev, T. (2013). Remarks on Quadratic Bundles Related to Hermitian Symmetric Spaces, International Conference "Physics and Mathematics of Nonlinear Phenomena", 22-29 June, Gallipoli. doi:10.1088/1742-6596/482/1/012044