The (n,1)-Reduced DKP Hierarchy, the String Equation and W Constraints
نویسندگان
چکیده
منابع مشابه
The (n, 1)-Reduced DKP Hierarchy, the String Equation and W Constraints
The total descendent potential of a simple singularity satisfies the Kac–Wakimoto principal hierarchy. Bakalov and Milanov showed recently that it is also a highest weight vector for the corresponding W -algebra. This was used by Liu, Yang and Zhang to prove its uniqueness. We construct this principal hierarchy of type D in a different way, viz. as a reduction of some DKP hierarchy. This gives ...
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Since its introduction in 1980, the Kadomtsev-Petviashvili(KP) hierarchy [1, 2] is one of the most important research topics in the area of classical integrable systems. In particular, the study of its symmetries plays a central role in the development of this theory. In this context, additional symmetries, which correspond to a special kind of symmetries depending explicitly on the independent...
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The factorization problem for the group of canonical transformations close to the identity and the corresponding twistor equations for an ample family of canonical variables are considered. A method to deal with these reductions is developed for the construction classes of nontrivial solutions of the dKP equation.
متن کاملEinstein–Weyl geometry, the dKP equation and twistor theory
It is shown that Einstein–Weyl (EW) equations in 2+1 dimensions contain the dispersionless Kadomtsev–Petviashvili (dKP) equation as a special case: If an EW structure admits a constant weighted vector then it is locally given by h = dy2−4dxdt−4udt2, ν = −4uxdt, where u = u(x, y, t) satisfies the dKP equation (ut − uux)x = uyy. Linearised solutions to the dKP equation are shown to give rise to f...
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The factorization problem for the group of canonical transformations close to the identity and the corresponding twistor equations for an ample family of canonical variables are considered. A method to deal with these reductions is developed for the construction classes of nontrivial solutions of the dKP equation.
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ژورنال
عنوان ژورنال: Symmetry, Integrability and Geometry: Methods and Applications
سال: 2014
ISSN: 1815-0659
DOI: 10.3842/sigma.2014.007