AKNS hierarchy, self-similarity, string equations and the Grassmannian
نویسندگان
چکیده
منابع مشابه
/ 93 07 01 7 v 1 2 J ul 1 99 3 AKNS Hierarchy , Self – Similarity , String Equations and the Grassmannian ∗
In this paper the Galilean, scaling and translational self–similarity conditions for the AKNS hierarchy are analysed geometrically in terms of the infinite dimensional Grassmannian. The string equations found recently by non–scaling limit analysis of the one–matrix model are shown to correspond to the Galilean self–similarity condition for this hierarchy. We describe, in terms of the initial da...
متن کاملThe Discrete AKNS-D Hierarchy
In this paper, we consider the discrete AKNS-D hierarchy, find the construction of the hierarchy, prove the bilinear identity and give the construction of the τ -functions of this hierarchy. PACS : 02.30.Ik, 11.10.Ef
متن کاملOn generating functions in the AKNS hierarchy
It is shown that the self-induced transparency equations can be interpreted as a generating function for as positive so negative flows in the AKNS hierarchy. Mutual commutativity of these flows leads to other hierarchies of integrable equations. In particular, it is shown that stimulated Raman scattering equations generate the hierarchy of flows which include the Heisenberg model equations. Thi...
متن کاملToda Lattice Hierarchy and Generalized String Equations
String equations of the p-th generalized Kontsevich model and the compactified c = 1 string theory are re-examined in the language of the Toda lattice hierarchy. As opposed to a hypothesis postulated in the literature, the generalized Kontsevich model at p = −1 does not coincide with the c = 1 string theory at self-dual radius. A broader family of solutions of the Toda lattice hierarchy includi...
متن کاملGrassmannian and string theory
Infinite-dimensional Grassmannian manifold contains moduli spaces of Riemann surfaces of all genera. This well known fact leads to a conjecture that non-perturbative string theory can be formulated in terms of Grassmannian. We present new facts supporting this hypothesis. In particular, it is shown that Grassmannians can be considered as generalized moduli spaces; this statement permits us to d...
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 Physics A: Mathematical and General
سال: 1994
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/27/6/034