Supersymmetric version of a Gaussian irrotational compressible fluid flow

Details Supersymmetric version of a Gaussian irrotational compressible fluid flow Supersymmetric version of a Gaussian irrotational compressible fluid flow

2007-09-09

arxiv.org/abs/0709.1290v2

Physics

Mathematical Physics

Expanded introduction and added new section on classical Gaussian fluid flow. Included several additional references

Scientific paper

10.1088/1751-8113/40/50/014

The Lie point symmetries and corresponding invariant solutions are obtained for a Gaussian, irrotational, compressible fluid flow. A supersymmetric extension of this model is then formulated through the use of a superspace and superfield formalism. The Lie superalgebra of this extended model is determined and a classification of its subalgebras is performed. The method of symmetry reduction is systematically applied in order to derive special classes of invariant solutions of the supersymmetric model. Several new types of algebraic, hyperbolic, multi-solitonic and doubly periodic solutions are obtained in explicit form.

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