Recursion Operators for Multidimensional Integrable PDEs

Abstract

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.

6 pages, LaTeX, no figures

References in corpus (2)

• Recursion Operators and Nonlocal Symmetries for Integrable rmdKP and rdDym Equations
• Integrable systems in 4D associated with sixfolds in Gr(4,6)