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arXiv · 1502.07491

Explicit characterization of some commuting differential operators of rank 2

Vardan Oganesyan
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Abstract

In this paper we consider differential opeartor L=d^4_x + u(x). We find the commutativity condition for operator L with a differential operator M of order 4g+2, where L and M are operators of rank 2. Some examples are constructed. These examples don't commute with differential opeartors of odd order.

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Vardan Oganesyan. 2015-02-26. Explicit characterization of some commuting differential operators of rank 2. https://doi.org/10.1093/imrn%2Frnw085

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