Gardner's deformations of the graded Korteweg-de Vries equations revisitedKiselev, A. V. & Krutov, A. O., Oct-2012, In : Journal of Mathematical Physics. 53, 10, 18 p., 103511.
Research output: Contribution to journal › Article › Academic › peer-review
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]
|Number of pages||18|
|Journal||Journal of Mathematical Physics|
|Publication status||Published - Oct-2012|
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