Descripción
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We will deal with formal and non-formal recursion operators of partial differential equations of the form qtt = F (q, qx, ...., qn, qt, qtx, ...., qtm). A system admitting a formal recursion operator is deemed integrable under the symmetry approach to integrability. A formal recursion operator is a pseudodifferential operator R of the form R := L+MDt with L and M pseudodifferential operators in the derivation Dx satisfying the symmetry condition. We are thus confronted with solving an equation over pseudodifferential operators in two derivations, a rather nontrivial problem in principle. In the solving process there appear obstructions, written as conditions over the rhs F of the PDE, that are interpreted as integrability conditions. | |
Internacional
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Si |
Nombre congreso
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32nd International Colloquium on Group Theoretical Methods in Physics |
Tipo de participación
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960 |
Lugar del congreso
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Praga, República Checa |
Revisores
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Si |
ISBN o ISSN
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1742-6588 |
DOI
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10.1088/issn.1742-6596 |
Fecha inicio congreso
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09/07/2018 |
Fecha fin congreso
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13/07/2018 |
Desde la página
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0 |
Hasta la página
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0 |
Título de las actas
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Proceedings of the 32nd International Colloquium on Group Theoretical Methods in Physics |