Super-Kadomtsev—Petviashvili hierarchy and super-Grassmann manifold |
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| Authors: | Kimio Ueno Hirofumi Yamada |
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| Institution: | (1) Department of Mathematics, Yokohama City University, 22-2 Seto Kanazawa-ku, 236 Yokohama, Japan;(2) Department of Mathematics, Hiroshima University, 1-1-89 Higashisenda, Naka-ku, 730 Hiroshima, Japan |
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| Abstract: | The super-Kadomtsev-Petviashvili (SKP) hierarchy is introduced, and the general solutions are explicitly represented in terms of a superdeterminant. It is proved that the SKP hierarchy can be regarded as a dynamical system on a super-Grassmann manifold of infinite dimensions. |
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