# Multiplicative equations related to the affine Weyl group E8

@article{Grammaticos2017MultiplicativeER, title={Multiplicative equations related to the affine Weyl group E8}, author={Basil Grammaticos and Alfred Ramani and Ralph Willox and Junkichi Satsuma}, journal={Journal of Mathematical Physics}, year={2017}, volume={58}, pages={083502} }

We derive integrable equations starting from autonomous mappings with a general form inspired by the multiplicative systems associated with the affine Weyl group E8(1). Five such systems are obtained, three of which turn out to be linearisable and the remaining two are integrable in terms of elliptic functions. In the case of the linearisable mappings, we derive non-autonomous forms which contain a free function of the independent variable and we present the linearisation in each case. The two… CONTINUE READING

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