标题： 加德纳的分次Korteweg-de Vries方程的变形再研究 显示英文标题

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

摘要： 我们解决了N=2超对称a=4Korteweg-de Vries方程（P. Mathieu, 1988）的Gardner变形问题。 我们表明，该超方程的一个已知零曲率表示产生了一组新的非局部变量，其导数包含经典KdV方程的Gardner变形。 显示英文摘要

摘要： 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.