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

Kiselev, A. V.; Krutov, A. O.

doi:10.1063/1.4754288

arXiv 2011-08-10 DOI 10.1063/1.4754288 0 views

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

Kiselev, A. V. · Krutov, A. O.

Exactly Solvable and Integrable Systems 37K10 (Primary) 35Q53, 35Q53 (Secondary)

Original · EN

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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