Poisson algebras associated with constrained dispersionless modified Kadomtsev-Petviashvili hierarchies (Q2731824)
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scientific article; zbMATH DE number 1626625
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poisson algebras associated with constrained dispersionless modified Kadomtsev-Petviashvili hierarchies |
scientific article; zbMATH DE number 1626625 |
Statements
30 July 2001
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Lax representation
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Kadomtsev-Petviashvili hierarchies
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bi-Hamiltonian structures
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Dirac reduction
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free-field realizations
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Poisson algebras
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Kupershmidt-Wilson theorem
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0.9092237
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0.8908668
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0.88466525
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0.8767938
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0.87507164
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Poisson algebras associated with constrained dispersionless modified Kadomtsev-Petviashvili hierarchies (English)
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The authors derive the bi-Hamiltonian structures of constrained dispersionless modified Kadomtsev-Petviashvili (dmKP) hierarchies from that of the dmKP hierarchy via Dirac reduction. The conformal property of the second Poisson brackets associated with constrained dmKP hierarchies are investigated. The free-field realizations of these Poisson algebras are given through the corresponding Kupershmidt-Wilson theorem. Some examples to illustrate the obtained results are given.
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