Supersymmetric version of a hydrodynamic system in Riemann invariants and its solutions
- Centre de Recherches Mathematiques, Universite de Montreal, C.P. 6128, Succ. Centre-ville, Montreal, Quebec H3C 3J7 (Canada)
In 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 allows us to construct several classes of invariant solutions, including traveling waves, centered waves, and solutions involving monomials, exponentials, and radicals.
- OSTI ID:
- 21100263
- Journal Information:
- Journal of Mathematical Physics, Vol. 49, Issue 4; Other Information: DOI: 10.1063/1.2898094; (c) 2008 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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