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arxiv: 1710.05907 · v1 · pith:OS5B6Z4Fnew · submitted 2017-10-16 · 🧮 math.AP

Recursion Operators for Multidimensional Integrable PDEs

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keywords operatorsintegrablemultidimensionalpdesrecursionscalaralgebraapplied
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We present a novel construction of recursion operators for scalar second-order integrable multidimensional PDEs with isospectral Lax pairs written in terms of first-order scalar differential operators. Our approach is quite straightforward and can be readily applied using modern computer algebra software. It is illustrated by examples, two of which are new.

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