Bihamiltonian cohomologies and integrable hierarchies. I: A special case (Q387638)
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scientific article; zbMATH DE number 6242124
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bihamiltonian cohomologies and integrable hierarchies. I: A special case |
scientific article; zbMATH DE number 6242124 |
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Bihamiltonian cohomologies and integrable hierarchies. I: A special case (English)
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23 December 2013
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The authors study the bi-Hamiltonian cohomologies associated with bi-Hamiltonian structures of hydrodynamic type, especially the third bi-Hamiltonian cohomology for the dispersionless KdV hierarchy. Using these results, they also study the deformation structure of the dispersionless KdV hierarchy and its bi-Hamiltonian structure, and prove a conjecture on the deformation by \textit{P. Lorenzoni} [J. Geom. Phys. 44, No. 2--3, 331--375 (2002; Zbl 1010.37041)].
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endomorphisms
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projective line
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non-Archimedean valuation
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reduction
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