Invariant factorization of LPDOs

id: invariant-factorization-of-lpdos-201-3304960
title: Invariant factorization of LPDOs
text: The factorization of a linear partial differential operator (LPDO) is an important issue in the theory of integrability, due to the Laplace-Darboux transformations, which allow construction of integrable LPDEs. Laplace solved the factorization problem for a bivariate hyperbolic operator of the second order, constructing two Laplace invariants. Each Laplace invariant is an explicit polynomial condition of factorization; coefficients of this polynomial are explicit functions of the coefficients of
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original url: https://en.wikipedia.org/wiki/Invariant_factorization_of_LPDOs
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date modified: 2023-08-06T02:06:38Z
main entity: {"identifier":"Q6059517","url":"https://www.wikidata.org/entity/Q6059517"}
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integrity: 13

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