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We consider the Cauchy problem of the fifth order KdV equation with low regularity initial data. We cannot apply the iteration argument to this problem when initial data is given in the Sobolev space...
Gardner's deformations of the N=2 supersymmetric a=4-KdV equation
Gardner's deformation N=2 supersymmetric a=4-KdV equation
2010/4/7
We prove that P.Mathieu's Open problem on constructing Gardner's deformation for the N=2 supersymmetric a=4-Korteweg-de Vries equation has no supersymmetry invariant solutions, whenever it is assumed ...