Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 83-110 |
| Number of pages | 28 |
| Journal | Journal of Geometry and Symmetry in Physics |
| Volume | 29 |
| DOIs | |
| Publication status | Published - 1 Mar 2013 |
Keywords
- quadratic bundles
- Hermitian symmetric spaces
- direct scattering problem
- dressing method
- multicomponent derivative Schrodinger equation
- infinite dimensional Hamiltonian system
- integrals of motion
- block diagonalization
- Lax pair