Bi-Hamiltonian structures of d-Boussinesq and Benney-Lax equations
dc.citation.epage | 200 | en_US |
dc.citation.spage | 193 | en_US |
dc.citation.volumeNumber | 27 | en_US |
dc.contributor.author | Gümral, H. | en_US |
dc.contributor.author | Nutku, Y. | en_US |
dc.date.accessioned | 2019-02-11T09:06:38Z | |
dc.date.available | 2019-02-11T09:06:38Z | |
dc.date.issued | 1994 | en_US |
dc.department | Department of Mathematics | en_US |
dc.description.abstract | The 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.doi | 10.1088/0305-4470/27/1/013 | en_US |
dc.identifier.issn | 0305-4470 | |
dc.identifier.uri | http://hdl.handle.net/11693/49217 | |
dc.language.iso | English | en_US |
dc.publisher | Institute of Physics Publishing | en_US |
dc.relation.isversionof | https://doi.org/10.1088/0305-4470/27/1/013 | en_US |
dc.source.title | Journal of Physics A: Mathematical and General | en_US |
dc.title | Bi-Hamiltonian structures of d-Boussinesq and Benney-Lax equations | en_US |
dc.type | Article | en_US |
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