Constrained KP models as integrable matrix hierarchies
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
27/05/2014
27/05/2014
01/03/1997
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Resumo |
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. |
Formato |
1559-1576 |
Identificador |
http://dx.doi.org/10.1063/1.531908 Journal of Mathematical Physics, v. 38, n. 3, p. 1559-1576, 1997. 0022-2488 http://hdl.handle.net/11449/65049 10.1063/1.531908 WOS:A1997WL59800016 2-s2.0-0031502256 2-s2.0-0031502256.pdf |
Idioma(s) |
eng |
Relação |
Journal of Mathematical Physics |
Direitos |
closedAccess |
Tipo |
info:eu-repo/semantics/article |