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Gardner's deformations of the graded Korteweg-de Vries equations revisited

We solve the Gardner deformation problem for the N=2 supersymmetric a=4 Korteweg-de Vries equation (P. Mathieu, 1988). We show that a known zero-curvature representation for this superequation yields the system of new nonlocal variables such that their derivatives contain the Gardner deformation for the classical KdV equation.

preprint2011arXivOpen access
A. V. KiselevA. O. Krutov
nlin.SI
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Open access2 authors1 topic
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A. V. KiselevA. O. Krutov

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