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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Integrable Systems in Multidimensions

## Integrable Systems in MultidimensionsAdd to your list(s) Download to your calendar using vCal - Maria Christina van der Weele (University of Cambridge)
- Tuesday 10 December 2019, 09:00-09:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. CATW03 - Computational complex analysis One of the main current topics in the field of integrable systems concerns the existence of nonlinear integrable evolution equations in more than two spatial dimensions. The fact that such equations exist has been proven by A.S. Fokas [1], who derived equations of this type in four spatial dimensions, which however had the disadvantage of containing two time dimensions. The associated initial value problem for such equations, where the dependent variables are specified for all space variables at t1 = t2 = 0, can be solved by means of a nonlocal d-bar problem. The next step in this program is to formulate and solve nonlinear integrable systems in 3+1 dimensions (i.e., with three space variables and a single time variable) in agreement with physical reality. The method we employ is to first construct a system in 4+2 dimensions, with the aim to reduce this then to 3+1 dimensions. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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