Integral powers of the Sturm-Liouville operator and the theory of partitions (Q1092301)
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scientific article; zbMATH DE number 4019493
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integral powers of the Sturm-Liouville operator and the theory of partitions |
scientific article; zbMATH DE number 4019493 |
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Integral powers of the Sturm-Liouville operator and the theory of partitions (English)
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1987
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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.
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combinatorial analysis
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nonlinear evolution equations
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Schrödinger operator
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unrestricted partitions
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Korteweg-de Vries equation
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