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

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

2011-08-10

arxiv.org/abs/1108.2211v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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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