On the supersymmetric BKP hierarchy
نویسندگان
چکیده
منابع مشابه
On dispersionless BKP hierarchy and its reductions
Integrable dispersionless Kadomtsev-Petviashvili (KP) hierarchy of B type is considered. Addition formula for the τ -function and conformally invariant equations for the dispersionless BKP (dBKP) hierarchy are derived. Symmetry constraints for the dBKP hierarchy are studied.
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We study the BKP hierarchy and prove the existence of an Adler– Shiota–van Moerbeke formula. This formula relates the action of the BW1+∞–algebra on tau–functions to the action of the “additional symmetries” on wave functions.
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We give a straightforward derivation of the string equation and Virasoro constraints on the τ function of the BKP hierarchy by means of some special additional symmetry flows. The explicit forms of the actions of these additional symmetry flows on the wave function and then the negative Virasoro generators L−k are given, where k is a positive integer.
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We summarize all the known properties of the supersymmetric integrable Two Boson equation. We present its nonstandard Lax formulation and tri-Hamiltonian structure, its reduction to the supersymmetric nonlinear Schrödinger equation and the local as well as nonlocal conserved charges. We also present the algebra of the conserved charges and identify its second Hamiltonian structure with the twis...
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The BKP hierarchy has a two-component analogue (the 2-BKP hierarchy). Dispersionless limit of this multi-component hierarchy is considered on the level of the τ -function. The so called dispersionless Hirota equations are obtained from the Hirota equations of the τ -function. These dispersionless Hirota equations turn out to be equivalent to a system of Hamilton-Jacobi equations. Other relevant...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1994
ISSN: 0550-3213
DOI: 10.1016/0550-3213(94)90280-1