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Constraints of the KP hierarchy and multilinear forms (1995)

Cheng, Yi ; Strampp, Walter ; Zhang, Bin

Springer

Communications in mathematical physics 168 (1995), S. 117-135

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02099585

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