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

Published 10 Aug 2011 in nlin.SI | (1108.2211v1)

Abstract: 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.

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