N=2 supersymmetric extension of a hydrodynamic system in Riemann invariants
- Centre de Recherches Mathematiques, Universite de Montreal, C.P. 6128, Succ. Centre-ville, Montreal, Quebec H3C 3J7 (Canada)
In this paper, we formulate an N=2 supersymmetric extension of a hydrodynamic-type system involving Riemann invariants. The supersymmetric version is constructed by means of a superspace and superfield formalism, using bosonic superfields, and consists of a system of partial differential equations involving both bosonic and fermionic variables. We make use of group-theoretical methods in order to analyze the extended model algebraically. Specifically, we calculate a Lie superalgebra of symmetries of our supersymmetric model and make use of a general classification method to classify the one-dimensional subalgebras into conjugacy classes. As a result we obtain a set of 401 one-dimensional nonequivalent subalgebras. For selected subalgebras, we use the symmetry reduction method applied to Grassmann-valued equations in order to determine analytic exact solutions of our supersymmetric model. These solutions include traveling waves, bumps, kinks, double-periodic solutions, and solutions involving exponentials and radicals.
- OSTI ID:
- 21294217
- Journal Information:
- Journal of Mathematical Physics, Vol. 50, Issue 7; Other Information: DOI: 10.1063/1.3167806; (c) 2009 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Supersymmetric formulation of polytropic gas dynamics and its invariant solutions
BPS Preons in Supergravity and Higher Spin Theories. An Overview From the Hill of Twistor Approach