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Generating symmetry operators for the KdV equation and seeking their supersymmetric generalizations
Published in World Scientific Publishing Co. Pte Ltd
1998
Volume: 13
   
Issue: 18
Pages: 3203 - 3213
Abstract
Exploiting the Lax form of the Korteweg-de Vries equation, we determine the whole set of its symmetry operators and relate them to conserved quantities. We also study a KdV supersymmetric version and put in evidence its even (bosonic) and odd (fermionic) symmetries. We then get the Lie superalgebra characterizing this supersymmetric nonlinear equation. © World Scientific Publishing Company.
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Published in World Scientific Publishing Co. Pte Ltd
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