منابع مشابه
ar X iv : 0 71 1 . 04 90 v 1 [ nl in . S I ] 4 N ov 2 00 7 Two new multi - component BKP hierarchies
We firstly propose two kinds of new multi-component BKP (mcBKP) hierarchy based on the eigenfunction symmetry reduction and nonstandard reduction, respectively. The first one contains two types of BKP equation with self-consistent sources which Lax representations are presented. The two mcBKP hierarchies both admit reductions to the k−constrained BKP hierarchy and to integrable (1+1)-dimensiona...
متن کاملOn the Moyal Quantized BKP Type Hierarchies
Quantization of BKP type equations are done through the Moyal bracket and the formalism of pseudo-differential operators. It is shown that a variant of the dressing operator can also be constructed for such quantized systems. Quantization of integrable system is one of the most important aspect of present day research on nonlinear systems. In two dimensions, a well established methodology was s...
متن کاملDispersionless Hirota equations of two-component BKP hierarchy
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...
متن کاملthe Polynomial Solutions to the Reduced BKP Hierarchies
Basic representations of A (2) 2l and D (2) l+1are studied. The weight vectors are represented in terms of Schur’s Q-functions. The method to get the polynomial solutions to the reduced BKP hierarchies is shown to be equivalent to a certain rule in Maya game.
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We introduce a new type of nonuniform two–way automaton that can use a different transition function for each tape square. We also enhance this model by allowing to shuffle the given input at the beginning of the computation. Then we present some hierarchy and incomparability results on the number of states for the types of deterministic, nondeterministic, and bounded-error probabilistic models...
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ژورنال
عنوان ژورنال: Communications in Theoretical Physics
سال: 2009
ISSN: 0253-6102
DOI: 10.1088/0253-6102/51/2/01