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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Published in:Journal of mathematical physics 1999-04, Vol.40 (4), p.1951-1965
Main Authors: Ayari, M. A., Hussin, V., Winternitz, P.
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Language:English
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container_end_page 1965
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container_title Journal of mathematical physics
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creator Ayari, M. A.
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description 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.
doi_str_mv 10.1063/1.532842
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title Group invariant solutions for the N=2 super Korteweg–de Vries equation
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