Factorization of linear partial differential operators and Darboux integrability of nonlinear PDEs

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dc.creatorTsarev, Serguei P.
dc.date1998-10-31
dc.date.accessioned2026-07-07T03:23:46Z
dc.date.available2026-07-07T03:23:46Z
dc.descriptionUsing a new definition of generalized divisors we prove that the lattice of such divisors for a given linear partial differential operator is modular and obtain analogues of the well-known theorems of the Loewy-Ore theory of factorization of linear ordinary differential operators. Possible applications to factorized Groebner bases computations in the commutative and non-commutative cases are discussed, an application to finding criterions of Darboux integrability of nonlinear PDEs is given.
dc.descriptionLaTeX 2.09, acmconf.sty (included in the tar file), 8 pages. Presented at the Poster session of ISSAC'98 (Rostock, Germany)
dc.identifierhttps://arxiv.org/abs/cs/9811002
dc.identifierhttp://arxiv.org/abs/cs/9811002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33075
dc.subjectSymbolic Computation
dc.subjectExactly Solvable and Integrable Systems
dc.subjectI.1
dc.titleFactorization of linear partial differential operators and Darboux integrability of nonlinear PDEs
dc.typetext

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