Backlund transformation for integrable hierarchies: example - mKdV hierarchy
نویسندگان
چکیده
منابع مشابه
The Lax Pair for the Mkdv Hierarchy
— In this paper we give an algorithmic method of deriving the Lax pair for the modified Korteweg-de Vries hierarchy. For each n, the compatibility condition gives the n-th member of the hierarchy, rather than its derivative. A direct consequence of this is that we obtain the isomonodromy problem for the second Painlevé hierarchy, which is derived through a scaling reduction. Résumé (La paire de...
متن کاملNegative order MKdV hierarchy and a new integrable Neumann-like system
The purpose of this paper is to develop the negative order MKdV hierarchy and to present a new related integrable Neumann-like Hamiltonian flow from the view point of inverse recursion operator and constraint method. The whole MKdV hierarchy both positive and negative is generated by the kernel elements of Lenard’s operators pair and recursion operator. Through solving a key operator equation, ...
متن کاملIntegrable Hierarchies and Wakimoto Modules
In our papers [20, 21] we proposed a new approach to integrable hierarchies of soliton equations and their quantum deformations. We have applied this approach to the Toda field theories and the generalized KdV and modified KdV (mKdV) hierarchies. In this paper we apply our approach to the Ablowitz-Kaup-Newell-Segur (AKNS) hierarchy [1] and its generalizations. In particular, we show that the fr...
متن کاملTopological Strings and Integrable Hierarchies
a Department of Physics, University of Washington at Seattle Seattle, WA 98195-1560, USA b Institute for Theoretical Physics & Korteweg-de Vries Institute for Mathematics University of Amsterdam, 1018 XE Amsterdam, The Netherlands c Physics Department, University of Wisconsin at Madison Madison, WI 53706-1390, USA d Theory Division, CERN, Geneva 23, CH-1211 Switzerland e Jefferson Physical Labo...
متن کاملLiouville Correspondences between Integrable Hierarchies
In this paper, we study explicit correspondences between the integrable Novikov and Sawada–Kotera hierarchies, and between the Degasperis–Procesi and Kaup–Kupershmidt hierarchies. We show how a pair of Liouville transformations between the isospectral problems of the Novikov and Sawada–Kotera equations, and the isospectral problems of the Degasperis–Procesi and Kaup–Kupershmidt equations relate...
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: Conference Series
سال: 2015
ISSN: 1742-6588,1742-6596
DOI: 10.1088/1742-6596/597/1/012039