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Hirota polynomials for the KP and BKP hierarchies (1993)

Baker, T. H. ; Jarvis, P. D. ; Yung, C. M.

Springer

Letters in mathematical physics 29 (1993), S. 55-62

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ISSN: 1573-0530

Keywords: 58F07 ; 05E05 ; 17B67

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract Using symmetric function techniques, we derive closed-form expressions for the Hirota polynomials for thepth modified KP and BKP hierarchies in terms of Schur and SchurQ-polynomials, respectively. The Hirota polynomials for the BKP hierarchy can also be expressed as Pfaffians while those for thepth modified KP hierarchies can, under certain conditions, be expressed as determinants.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00760859

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