MATH5175 is a Special Topic in Applied Mathematics course for Honours and Postgraduate Coursework students. The topic for Term 1 2020, is Integrable Systems. Classical Theory and Modern Applications. See the course overview below.
Units of credit: 6
Cycle of offering: Topics rotate; Term 1.
Graduate attributes: The course will enhance your research, inquiry and analytical thinking abilities.
More information: Course outline (pdf) Will be provided.
The Online Handbook entry contains information about the course. (The timetable is only up-to-date if the course is being offered this year.)
If you are currently enrolled in MATH5175, you can log into UNSW Moodle for this course.
TBA. Topics may include
- Classical Liouville-Arnold integrability of ODEs based on Hamiltonian/Lagrangian mechanics, symmetries, conservation laws (Noether’s theorem)
- Integrability of infinite-dimensional systems: PDEs, soliton theory, Lax pairs, Bäcklund transformations, (differential) geometric aspects
- Basic theory of (linear) difference equations
- Discrete (nonlinear) integrable systems: (algebraic) geometry and features of integrable maps and partial difference equations, discrete Painlevé equations, integrability detectors
- Applications in mathematics and physics