On the integrability of homogeneous scalar evolution equations (Q1268395)
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scientific article; zbMATH DE number 1212351
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the integrability of homogeneous scalar evolution equations |
scientific article; zbMATH DE number 1212351 |
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On the integrability of homogeneous scalar evolution equations (English)
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11 May 2000
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The authors find the existence of infinitely many symmetries for the homogeneous scalar evolution equations of a certain form. Algorithms are presented to determine if the system has symmetry. In case the system has one generalized symmetry, it has infinitely many symmetries and all of them may be found with the help of recursion operators or master symmetries. The authors present a list of 10 integrable hierarchies.
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integrable hierarchies
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homogeneous scalar equations
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Lie algebra symmetries
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