Bi-Hamiltonian structures of d-Boussinesq and Benney-Lax equations

dc.citation.epage200en_US
dc.citation.spage193en_US
dc.citation.volumeNumber27en_US
dc.contributor.authorGümral, H.en_US
dc.contributor.authorNutku, Y.en_US
dc.date.accessioned2019-02-11T09:06:38Z
dc.date.available2019-02-11T09:06:38Z
dc.date.issued1994en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractThe dispersionless-Boussinesq and Benney-Lax equations are equations of hydrodynamic type which can be obtained as reductions of the dispersionless Kadomtsev-Petviashvili equation. We find that for the three-component reduction, the dispersionless Boussinesq and Benney-Lax equations are the same up to a diffeomorphism. This equivalence becomes manifest when the equations of motion are cast into the form of a triplet of conservation laws. Furthermore, in this form we are able to recognize a non-trivial scaling symmetry of these equations which plays an important role in the construction of their bi-Hamiltonian structure. We exhibit a pair of compatible Hamiltonian operators which belong to a restricted class of Dubrovin and Novikov operators appropriate to a system of conservation laws. The recursion operator for this system generates three infinite sequences of conserved Hamiltonians.en_US
dc.identifier.doi10.1088/0305-4470/27/1/013en_US
dc.identifier.issn0305-4470
dc.identifier.urihttp://hdl.handle.net/11693/49217
dc.language.isoEnglishen_US
dc.publisherInstitute of Physics Publishingen_US
dc.relation.isversionofhttps://doi.org/10.1088/0305-4470/27/1/013en_US
dc.source.titleJournal of Physics A: Mathematical and Generalen_US
dc.titleBi-Hamiltonian structures of d-Boussinesq and Benney-Lax equationsen_US
dc.typeArticleen_US

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