A geometric study of the dispersionless Boussinesq type equation

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dc.creatorKersten, Paul
dc.creatorKrasil'shchik, Iosif
dc.creatorVerbovetsky, Alexander
dc.date2005-11-06
dc.date.accessioned2026-07-07T08:19:32Z
dc.date.available2026-07-07T08:19:32Z
dc.descriptionWe discuss the dispersionless Boussinesq type equation, which is equivalent to the Benney-Lax equation, being a system of equations of hydrodynamical type. This equation was discussed in <http://dx.doi.org/doi:10.1088/0305-4470/27/1/013>. The results include: a description of local and nonlocal Hamiltonian and symplectic structures, hierarchies of symmetries, hierarchies of conservation laws, recursion operators for symmetries and generating functions of conservation laws (cosymmetries). Highly interesting are the appearances of operators that send conservation laws and symmetries to each other but are neither Hamiltonian, nor symplectic. These operators give rise to a noncommutative infinite-dimensional algebra of recursion operators.
dc.identifierhttps://arxiv.org/abs/nlin/0511012
dc.identifierhttp://arxiv.org/abs/nlin/0511012
dc.identifierActa Appl. Math. 90 (2006), 143-178
dc.identifierdoi:10.1007/s10440-006-9034-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134792
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.titleA geometric study of the dispersionless Boussinesq type equation
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