Integral powers of the Sturm-Liouville operator and the theory of partitions
type: Item
instance of: scholarly article
title: Integral powers of the Sturm-Liouville operator and the theory of partitions
zbMATH Open document ID: 0627.34026
DOI: 10.1016/0196-8858(87)90027-3
published in: Advances in Applied Mathematics
publication date: 1987-01-01T00:00:00Z
review text: We use unrestricted partitions and a recurrence relation to specify every term of every integral power of the Sturm-Liouville (or one-dimensional Schrödinger) operator. Our purpose is to exhibit techniques that might yield proofs of our combinatorial conjectures on the conservation laws of the Korteweg-de Vries equation. At the end some open problems are stated.
Mathematics Subject Classification ID: 34L99
zbMATH DE Number: 4019493
zbMATH Keywords: combinatorial analysis
zbMATH Keywords: nonlinear evolution equations
zbMATH Keywords: Schrödinger operator
zbMATH Keywords: unrestricted partitions
zbMATH Keywords: Korteweg-de Vries equation
author: Hugo H. Torriani
MaRDI profile type: Publication
full work available at URL: 0196-8858(87)90027-3
OpenAlex ID: W2089155045
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cites work: Q5662944
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description: scientific article; zbMATH DE number 4019493