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On the Moduli Space of Deformations of Bihamiltonian Hierarchies of Hydrodynamic Type by Aliaa Barakat is a Mathematics article available to read on EtoBox.
What is On the Moduli Space of Deformations of Bihamiltonian Hierarchies of Hydrodynamic Type about?
We investigate the deformation theory of the simplest bihamiltonian structure of hydrodynamic type, that of the dispersionless KdV hierarchy. We prove that all of its deformations are quasi-trivial in the sense of B. Dubrovin and Y. Zhang, that is, trivial after allowing transformations where the first partial derivative ∂u of the field is inverted. We reformulate the question about deformations as a question about the cohomology of a certain double complex, and calculate the appropriate cohomology group.
Who reads On the Moduli Space of Deformations of Bihamiltonian Hierarchies of Hydrodynamic Type?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Aliaa Barakat
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0001-8708)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)