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Mathematical Physics

arXiv:0709.1290 (math-ph)
[Submitted on 9 Sep 2007 (v1), last revised 23 Nov 2007 (this version, v2)]

Title:Supersymmetric version of a Gaussian irrotational compressible fluid flow

Authors:A. M. Grundland, A. J. Hariton
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Abstract: 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.
Comments: Expanded introduction and added new section on classical Gaussian fluid flow. Included several additional references
Subjects: Mathematical Physics (math-ph)
Report number: MIT-CTP-3862
Cite as: arXiv:0709.1290 [math-ph]
  (or arXiv:0709.1290v2 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.0709.1290
Related DOI: https://doi.org/10.1088/1751-8113/40/50/014

Submission history

From: Alexander Hariton [view email]
[v1] Sun, 9 Sep 2007 23:53:58 UTC (15 KB)
[v2] Fri, 23 Nov 2007 23:05:14 UTC (20 KB)
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