3 years ago

$\boldsymbol{Diff_+(S^1)-}$pseudo-differential operators and the Kadomtsev-Petviashvili hierarchy.

Enrique G. Reyes, Jean-Pierre Magnot

We establish a non-formal link between the structure of the group of Fourier integral operators $Cl^{0,*}_{odd}(S^1,V)\rtimes Diff_+(S^1)$ and the solutions of the Kadomtsev-Petviashvili hierarchy, using infinite-dimensional groups of series of non-formal pseudo-differential operators.

Publisher URL: http://arxiv.org/abs/1808.03791

DOI: arXiv:1808.03791v1

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