250127 VO Introduction to inverse scattering theory with applications (2008W)

3.00 ECTS (2.00 SWS), SPL 25 - Mathematik

Details

Language: English

Lecturers

Iryna Egorova

Classes (iCal) - next class is marked with N

Monday 06.10. 11:00 - 12:00 Seminarraum
Tuesday 07.10. 11:00 - 12:00 Seminarraum
Monday 13.10. 11:00 - 12:00 Seminarraum
Tuesday 14.10. 11:00 - 12:00 Seminarraum
Monday 20.10. 11:00 - 12:00 Seminarraum
Tuesday 21.10. 11:00 - 12:00 Seminarraum
Monday 27.10. 11:00 - 12:00 Seminarraum
Tuesday 28.10. 11:00 - 12:00 Seminarraum
Monday 03.11. 11:00 - 12:00 Seminarraum
Tuesday 04.11. 11:00 - 12:00 Seminarraum
Monday 10.11. 11:00 - 12:00 Seminarraum
Tuesday 11.11. 11:00 - 12:00 Seminarraum
Monday 17.11. 11:00 - 12:00 Seminarraum
Tuesday 18.11. 11:00 - 12:00 Seminarraum
Monday 24.11. 11:00 - 12:00 Seminarraum
Tuesday 25.11. 11:00 - 12:00 Seminarraum
Monday 01.12. 11:00 - 12:00 Seminarraum
Tuesday 02.12. 11:00 - 12:00 Seminarraum
Tuesday 09.12. 11:00 - 12:00 Seminarraum
Monday 15.12. 11:00 - 12:00 Seminarraum
Tuesday 16.12. 11:00 - 12:00 Seminarraum

Information

Aims, contents and method of the course

The main objective of the course is to get acquainted with the inverse scattering transform. We will first examine in detail two classical inverse scattering problems on the half-axis and on the whole axis. We solve them for the case of Jacobi operators, where these methods can be
demonstrated most transparently. Then we will study the application of the Lax pair formalism and the inverse scattering transform method for the solution of the corresponding initial value problem of the Toda lattice
(in the whole axis case). We will also draw analogies with similar problems for one-dimensional Schrödinger operators and the initial value problems of the Korteveg- de Vries equation.

Assessment and permitted materials

Minimum requirements and assessment criteria

Examination topics

Reading list

Association in the course directory

MANV

Last modified: Mo 07.09.2020 15:40