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The Recursion Operator of the Kadomtsev‐Petviashvili Equation and the Squared Eigenfunctions of the Schrödinger Operator

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The recursion operator of the Kadomtsev‐Petviashvili equation is algorithmically derived. This recursion operator is the two‐spatial‐dimensional analogue of the Lenard operator of the Korteweg‐deVries equation. It is also the “squared” eigenfunction operator of the time‐dependent Schrödinger operator. The existence of the recursion operator suggests that the Kadomtsev‐Petviashvili equation is a hi‐Hamiltonian system.
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Document Type: Research Article

Publication date: October 1, 1986

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