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Recursion operators for KP, mKP and Harry-Dym Hierarchies

In this paper, we give a unified construction of the recursion operators from the Lax representation for three integrable hierarchies: Kadomtsev-Petviashvili (KP), modified Kadomtsev-Petviashvili (mKP) and Harry-Dym under $n$-reduction. This shows a new inherent relationship between them. To illustrate our construction, the recursion operator are calculated explicitly for $2$-reduction and $3$-reduction.

preprint2010arXivOpen access
Jipeng ChengLihong WangJingsong He
math-phmath.MPnlin.SI
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Jipeng ChengLihong WangJingsong He

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