Project description
More often than not, nonlinear equations are chaotic. The rare exceptions are now known as integrable equations, which include nonlinear Schrodinger, sine-Gordon, KdV, Painlevé equations and their discrete analogues. These equations are shown to play signicant roles in a wide range of physical theories and possess remarkable properties. One of which is that symmetries of the equations form crystallographic reflection groups (or Weyl groups), which are the symmetry groups of regular polytopes. This project investigates the properties of discrete integrable system characterised by Weyl groups.
Assumed knowledge
Linear algebra
Industry involvement
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You must also contact each supervisor directly to discuss both the project details and your suitability to undertake the project.