Constraints of the KP hierarchy and multilinear forms |
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| Authors: | Yi Cheng Walter Strampp Bin Zhang |
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| Affiliation: | (1) Department of Mathematics, University of Science and Technology of China, 230026 Hefei. Anhui, People's Republic of China;(2) Faehbereich 17-Mathematik/Informatik, Universität-GH Kassel, Holländische Str. 36, D-34109 Kassel, Germany |
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| Abstract: | We consider the trilinear form of the Kaup-Broer system which gives rise to solutions in Wronskian form. The Kaup-Broer system is connected with AKNS system through a gauge transformation. The AKNS hierarchy can be understood as a generalized 1-constraint of the KP hierarchy. Imposing that constraint on Sato's equation we obtain the basic trilinear form and moreover a hierarchy of trilinear equations governing the AKNS flows. Similary, hierarchies of multilinear forms are derived in the case of generalized k-constraints. |
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