Jing Ping Wang

University of Kent University of Kent


Symmetries of Differential-Difference Equations


Mathematical Physics Seminar


2nd February 2024, 1:45 pm – 3:30 pm
Fry Building, G.07


In this talk, I’ll discuss symmetries of differential-difference equations (DDEs) and their applications. A DDE is a functional relation among functions and their derivatives calculated at several points of a lattice. Typical examples are Volterra chain and Toda lattice equations. A DDE may possess discrete symmetries, continuous point symmetries and Lie algebras of infinitesimal symmetries. Symmetry reductions enable one to study symmetry-invariant solutions of DDEs and link them with finite dimensional dynamical systems and Painleve equations. For integrable equations, the existence of infinite hierarchies of symmetries can be regarded as the definition of their integrability. I’ll present the recent classification result for scalar integrable differential-difference equations.





Organiser: Emma Bailey

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