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- Title:
- Constrained KP models as integrable matrix hierarchies
- University of Illinois at Chicago
- Universidade Estadual Paulista (UNESP)
- 0022-2488
- We formulate the constrained KP hierarchy (denoted by cKP K+1,M) as an affine sl(M + K+ 1) matrix integrable hierarchy generalizing the Drinfeld-Sokolov hierarchy. Using an algebraic approach, including the graded structure of the generalized Drinfeld-Sokolov hierarchy, we are able to find several new universal results valid for the cKP hierarchy. In particular, our method yields a closed expression for the second bracket obtained through Dirac reduction of any untwisted affine Kac-Moody current algebra. An explicit example is given for the case sl(M + K + 1), for which a closed expression for the general recursion operator is also obtained. We show how isospectral flows are characterized and grouped according to the semisimple non-regular element E of sl(M + K+ 1) and the content of the center of the kernel of E. © 1997 American Institute of Physics.
- 1-Mar-1997
- Journal of Mathematical Physics, v. 38, n. 3, p. 1559-1576, 1997.
- 1559-1576
- http://dx.doi.org/10.1063/1.531908
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/65049
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