Department of Mathematical Sciences
报告题目：Discrete Integrable Equations in 3D
报告人：Prof. V. Novikov (University of Loughborough, UK)
时间：2017年4月11日（星期二）16:00 -- 17:00
摘要：We propose a novel approach to the classification of integrable differential/difference as well as fully discrete equations in 3D based on the requirement that hydrodynamic reductions of the corresponding dispersionless limit are `inherited’ by the full dispersive equation.
The only constraint of the method is that the initial ansatz possesses a non-degenerate dispersion less limit (this is the case for all known Hirota-type equations). Based on the method of deformations of hydrodynamic reductions, we classify 3D integrable Hirota type equations within various particularly interesting subclasses.