A note on the dispersionless Dym hierarchy (Q1395668)
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scientific article; zbMATH DE number 1944888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on the dispersionless Dym hierarchy |
scientific article; zbMATH DE number 1944888 |
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A note on the dispersionless Dym hierarchy (English)
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1 July 2003
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The authors consider the dispersionless Dym hierarchy; in particular, the Miura map that relates it to the dispersionless modified KP hierarchy, and its bi-Hamiltonian structure. They then consider a truncated dispersionless Dym hierarchy (in two variables). This leads to two sets of commuting flows, which the authors show can be derived from the genus-zero topological recursion relation in the Landau-Ginzburg formulation.
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bi-Hamiltonian structure
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dispersionless Dym hierarchy
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Landau-Ginzburg formulation
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Miura map
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