منابع مشابه
Calogero-Moser hierarchy and KP hierarchy
In [1], Airault, McKean and Moser observed that the motion of poles of a rational solution to the K-dV or Boussinesq equation obeys the Calogero-Moser dynamical system [2, 3, 4] with an extra condition on the configuration of poles. In [8], Krichever observed that the motion of poles of a solution to the KP equation which is rational in t1 obeys the Calogero-Moser dynamical system. In this note...
متن کاملq-Deformed KP Hierarchy and q-Deformed Constrained KP Hierarchy
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 کاملThe 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...
متن کاملgeneralized KP hierarchy
We propose one possible generalization of the KP hierarchy, which possesses multi bi–hamiltonian structures, and can be viewed as several KP hierarchies coupled together .
متن کاملA Nonstandard Supersymmetric Kp Hierarchy
We show that the supersymmetric nonlinear Schrödinger equation can be written as a constrained super KP flow in a nonstandard representation of the Lax equation. We construct the conserved charges and show that this system reduces to the super mKdV equation with appropriate identifications. We construct various flows generated by the general nonstandard super Lax equation and show that they con...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1994
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.530713