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arxiv: 1402.6856 · v1 · pith:XCUSRVQTnew · submitted 2014-02-27 · 🌊 nlin.SI · math-ph· math.MP

The "ghost" symmetry in the CKP hierarchy

classification 🌊 nlin.SI math-phmath.MP
keywords eigenfunctionghosthierarchyoperatorsymmetryactionsdevelopeddressing
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In this paper, we systematically study the "ghost" symmetry in the CKP hierarchy through its actions on the Lax operator, dressing operator, eigenfunctions and the tau function. In this process, the spectral representation of the eigenfunction is developed and the squared eigenfunction potential is investigated.

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