PhD in Mathematics: Symmetry Integrability of discrete systems at University of Kent on FindAPhD.com

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Dr JP Wang No more applications being accepted Competition Funded PhD Project (Students Worldwide)

About the Project

In Applied Mathematics the development of the theory of difference equations has mostly been driven by its obvious applications to numerical schemes. Apart from numerical analysis, difference equations have many other important applications such as shape design (discrete geometry) and cellular automata appearing in computer sciences. Having many applications and interesting theory, difference equations represent a useful and remarkable mathematical object on its own merit. This project is devoted to the study of non-linear partial difference equations possessing continuous symmetries. Our main focus is on integrable difference equations, i.e. equations with an infinite hierarchy of symmetries. We plan to study their exact solutions and rich algebraic and geometric properties. We would also like to give a classification of integrable systems for a given family of discrete equations.

Funding Notes

The School of Mathematics, Statistics and Actuarial Science has postgraduate scholarships awarded competitively on academic merit. The school has 7 EPSRC scholarships, open to home and EU students, as well as school scholarships is open to international students. The awards includes PhD fees and a scholarship of £14057 per year (2015/16 rate) for 3.5 years. The deadline for applications is 15th May. Shortlisted candidates will be invited to interview between 18th and 26th May. For more details and how to apply see http://www.kent.ac.uk/smsas/postgraduate/phd-applications.html

References

A.V. Mikhailov, J.P. Wang and P. Xenitidis. Recursion operators, conservation laws and integrability conditions for difference equations. Theoretical and Mathematical Physics 167: 421-443, 2011. arXiv:1004.5346.

A.V. Mikhailov, V.S. Novikov and J.P. Wang. Symbolic representation and classification of integrable systems. In Algebraic Theory of Differential Equations, 156–216, Cambridge University Press, eds. M.A.H. MacCallum and A.V. Mikhailov, 2009.

Where will I study?

University of Kent

Here at the University of Kent we understand your passion to progress. Whether gaining advanced skills or joining a global academic research community drives you, our networks and facilities will help you achieve your ambition. We inspire each other to do outstanding things at Kent and that, in turn, empowers our PhD graduates to do outstanding things in the world. It’s something we’re very proud of.

PhD in Mathematics: Symmetry Integrability of discrete systems

University of Kent School of Mathematics, Statistics and Actuarial Science