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

A. V. Kiselev, A. O. Krutov*

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    3 Citations (Scopus)
    174 Downloads (Pure)

    Abstract

    We solve the Gardner deformation problem for the N = 2 supersymmetric a = 4 Korteweg-de Vries equation [P. Mathieu, "Supersymmetric extension of the Korteweg-de Vries equation," J. Math. Phys. 29(11), 2499-2506 (1988)]. We show that a known zero-curvature representation for this super-equation yields the system of new nonlocal variables such that their derivatives contain the Gardner deformation for the classical KdV equation. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.4754288]

    Original languageEnglish
    Article number103511
    Number of pages18
    JournalJournal of Mathematical Physics
    Volume53
    Issue number10
    DOIs
    Publication statusPublished - Oct-2012

    Keywords

    • DEVRIES EQUATION

    Cite this