Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions

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dc.creatorGrundland, A. M.
dc.creatorHariton, A. J.
dc.date2008-01-21
dc.date.accessioned2026-07-07T11:48:41Z
dc.date.available2026-07-07T11:48:41Z
dc.descriptionIn this paper, a supersymmetric extension of a system of hydrodynamic type equations involving Riemann invariants is formulated in terms of a superspace and superfield formalism. The symmetry properties of both the classical and supersymmetric versions of this hydrodynamical model are analyzed through the use of group-theoretical methods applied to partial differential equations involving both bosonic and fermionic variables. More specifically, we compute the Lie superalgebras of both models and perform classifications of their respective subalgebras. A systematic use of the subalgebra structures allow us to construct several classes of invariant solutions, including travelling waves, centered waves and solutions involving monomials, exponentials and radicals.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0801.3292
dc.identifierhttp://arxiv.org/abs/0801.3292
dc.identifierJ.Math.Phys.49:043502,2008
dc.identifierdoi:10.1063/1.2898094
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202964
dc.subjectMathematical Physics
dc.titleSupersymmetric version of a hydrodynamic system in Riemann invariants and its solutions
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