31 citations · 91 across the 14 of their papers we have counts for
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Classical and SUSY solutions of the Boiti-Leon-Manna-Pempinelli equation
Laurent Delisle, Masoud Mosaddeghi
In this paper, we propose the study of the Boiti-Leon-Manna-Pempinelli equation from two point of views: the classical and supersymmetric cases. In the classical case, we construct…
Constant curvature solutions of Grassmannian sigma models: (2) Non-holomorphic solutions
Laurent Delisle, Véronique Hussin, Wojtek J. Zakrzewski
We generalize here our general procedure for constructing constant curvature maps of 2-spheres into Grassmannian manifolds G(m,n) this time concentrating our attention on maps whic…
Soliton and similarity solutions of N=2,4 supersymmetric equations
Laurent Delisle, Véronique Hussin
We produce soliton and similarity solutions of supersymmetric extensions of Burgers, Korteweg-de Vries and modified KdV equations. We give new representations of the -functions…
Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions
Laurent Delisle, Veronique Hussin, Wojtek J. Zakrzewski
We present a general formula for the Gaussian curvature of curved holomorphic 2-spheres in Grassmannian manifolds G(m, n). We then show how to construct such solutions with constan…
New solution of the Supersymmetric KdV equation via Hirota methods
Laurent Delisle, Véronique Hussin
We consider the resolution of the supersymmetric KdV equation with () from the Hirota formalism. For the first time, a bilinear form of the $SKd…