Additional Reductions in the K -Constrained Modified KP Hierarchy
نویسندگان
چکیده
منابع مشابه
THE VECTOR k–CONSTRAINED KP HIERARCHY AND SATO’S GRASSMANNIAN
We use the representation theory of the infinite matrix group to show that (in the polynomial case) the n–vector k–constrained KP hierarchy has a natural geometrical interpretation on Sato’s infinite Grassmannian. This description generalizes the the k–reduced KP or Gelfand–Dickey hierarchies.
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 Constrained KP Hierarchy and the Generalised Miura Transformation
Recently much attention has been paid to the restriction of KP to the submanifold of operators which can be represented as a ratio of two purely differential operators L = AB−1. Whereas most of the aspects concerning this reduced hierarchy, like the Lax flows and the Hamiltonians, are by now well understood, there still lacks a clear and conclusive statement about the associated Poisson structu...
متن کاملThe nonstandard constrained KP hierarchy and the generalized Miura transformations
We consider the nonstandard constrained KP (ncKP) hierarchy which is obtained from the multi-constraint KP hierarchy by gauge transformation. The second Hamiltonian structure of the ncKP hierarchy can be simplified by factorizing the Lax operator into multiplication form, thus the generalized Miura transformation is obtained. We also discuss the free field realization of the associated W-algebra.
متن کاملExtended Conformal Algebras Associated with Constrained KP Hierarchy
We examine the conformal preperty of the second Hamiltonian structure of constrained KP hierarchy derived by Oevel and Strampp. We find that it naturally gives a family of nonlocal extended conformal algebras. We give two examples of such algebras and find that they are similar to Bilal's V algebra. By taking a gauge transformation one can map the constrained KP hierarchy to Kupershmidt's nonst...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Sciences
سال: 2015
ISSN: 1072-3374,1573-8795
DOI: 10.1007/s10958-015-2669-x