Abstract
In this article, we prove an equivalence between two different approaches to the constrained KP (cKP) hierarchy. One is based on the reduction process from the complete KP hierarchy involving the eigenfunctions of the original KP Lax operator. The other represents the cKP Lax operators as a ratio of differential operators. The elementary proof of equivalence requires only some basic notions of the ordinary differential operator calculus. Relation to the squared eigenfunction potential is briefly discussed.
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© 1998 Springer-Verlag
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Aratyn, H. (1998). Constrained KP hierarchy as a ratio of differential operators. In: Aratyn, H., Imbo, T.D., Keung, WY., Sukhatme, U. (eds) Supersymmetry and Integrable Models. Lecture Notes in Physics, vol 502. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0105310
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DOI: https://doi.org/10.1007/BFb0105310
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