Group invariant solutions for the N=2 super Korteweg–de Vries equation

The method of symmetry reduction is used to solve Grassmann-valued differential equations. The (N=2) supersymmetric Korteweg–de Vries equation is considered. It admits a Lie superalgebra of symmetries of dimension 5. A two-dimensional subsuperalgebra is chosen to reduce the number of independent var...

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Bibliographic Details
Published in:Journal of mathematical physics 1999-04, Vol.40 (4), p.1951-1965
Main Authors: Ayari, M. A., Hussin, V., Winternitz, P.
Format: Article
Language:English
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Summary:The method of symmetry reduction is used to solve Grassmann-valued differential equations. The (N=2) supersymmetric Korteweg–de Vries equation is considered. It admits a Lie superalgebra of symmetries of dimension 5. A two-dimensional subsuperalgebra is chosen to reduce the number of independent variables in this equation. We are then able to give different types of exact solutions, in particular soliton solutions.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.532842