The W1+∞(gls)‐symmetries of the s‐component KP hierarchy
نویسندگان
چکیده
منابع مشابه
The Kp Hierarchy ,
The KP hierarchy is a completely integrable system of quadratic, partial differential equations that generalizes the KdV hierarchy. A linear combination of Schur functions is a solution to the KP hierarchy if and only if its coefficients satisfy the Pï ucker relations from geometry. We give a solution to the Pï ucker relations involving products of variables marking contents for a partition, an...
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Using the determinant representation of gauge transformation operator, we have shown that the general form of τ function of the q-KP hierarchy is a q-deformed generalized Wronskian, which includes the q-deformed Wronskian as a special case. On the basis of these, we study the q-deformed constrained KP (q-cKP) hierarchy, i.e. l-constraints of q-KP hierarchy. Similar to the ordinary constrained K...
متن کاملAlgebraic Aspects of the Discrete Kp Hierarchy
Abstract. We discuss some algebraic properties of the so-called discrete KP hierarchy, an integrable system defined on a space of infinite matrices. We give an algebraic proof of the complete integrability of the hierarchy, which we achieve by means of a factorization result for infinite matrices, that extends a result of Adler and Van Moerbeke for the case of (semi-infinite) moment matrices, a...
متن کاملThe quasiclassical limit of the symmetry constraint of the KP hierarchy and the dispersionless KP hierarchy with self - consistent sources
For the first time we show that the quasiclassical limit of the symmetry constraint of the KP hierarchy leads to the generalized Zakharov reduction of the dispersionless KP (dKP) hierarchy which has been proved to be result of symmetry constraint of the dKP hierarchy recently. By either regarding the constrained dKP hierarchy as its stationary case or taking the dispersionless limit of the KP h...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1996
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.531511